Chemistry is generally divided into two broad branches: organic chemistry and inorganic chemistry. Other types of chemistry include physical chemistry, biochemistry, and analytical chemistry, with each field branching off into several specific subfields. Here’s a brief description of the most common branches of chemistry.

Organic Chemistry

Organic Chemistry has to do with the study of compounds that contain carbon (and sometimes hydrogen). Even though carbon is only the fourteenth most common element on the planet, it produces the greatest number of different compounds on Earth. Not surprisingly then, much of the study of chemistry involves organic chemistry.

The most studied groups of organic compounds are those that contain nitrogen. These organic compounds are important because they are often linked to the amino group. When the amino group combines with the carboxyl group, amino acids are born. Amino acids are important because they are as the building blocks of proteins.

Inorganic Chemistry

Inorganic chemistry involves the study the properties and reactions of compounds that do not contain carbon and which are not organic. Inorganic chemistry studies all non-living matter, such as minerals found in the Earth’s crust. There are many branches of inorganic chemistry, including geochemistry, nuclear science, coordination chemistry, and bioinorganic chemistry.

There is much overlap between organic and inorganic chemistry. For instance, organometallic chemistry studies the use of compounds that are capable of creating a covalent bond between carbon and metal.

Physical Chemistry

As its name implies, physical chemistry has to do with the physical properties of materials. Physical properties that are studied may include the electrical and magnetic behavior of materials, as well as their interaction with electromagnetic fields.

There are several subcategories of physical chemistry. These include thermochemistry, electrochemistry, and chemical kinetics. Thermochemistry studies the changes of entropy and energy that naturally occur during chemical reactions. Electrochemistry is concerned with the study of interconversions of electric and chemical energy of matter, as well as the effects of electricity on chemical changes. Chemical kinetics involves the study of chemical reactions. Specifically, chemical kinetics studies the equilibrium it reached between products and their reactants.

Biochemistry

Biochemistry is a branch of chemistry concerned with the composition and changes of living matter. Biochemists commonly focus on the physical properties and structures of biological molecules. Common biological molecules include carbohydrates, proteins, lipids, and nucleic acids. Biochemistry is sometimes referred to as physiological chemistry and biological chemistry. Biophysics, molecular biology, and cell biology are research fields closely related to biochemistry.

Analytical Chemistry

Unlike the other main types of chemistry, analytical chemistry doesn’t deal specifically with specific elements. Analytical chemistry is concerned mainly with the various techniques and laboratory methods used to determine the composition of materials. Qualitative and quantitative analysis are the two most basic methods used in analytical chemistry. Qualitative analysis has to do with identifying all the atoms and molecules in a sample of matter, with attention paid to trace elements. Quantitative analysis also involves determining the atomical and molecular structure of matter, but includes also measuring the exact weight of each chemical constituent.

These twelve tips will help you get through any test and as long as you prepared adequately for it, you will certainly get an A.

Come to the test prepared and feeling confident that you know the material. Make sure that you are not very hungry or very full and that you are well-rested. Avoid eating sugary or processed foods before the test. Avoid items such as candy, carbonated soft drinks, junk foods, and fried foods. Snack on fresh fruit or veggies immediately before to get your mind off the test and give you some sustenance.

Breathe. Relax. Imagine yourself acing the test. It is amazing what a little positive imagery can do for you.

Read ALL of the directions carefully. Reread them again once you have finished. Look through the test to see what types of questions are asked, how many questions, if there are any major essays, if you have choices about questions that you can answer, etc. Make sure you know how much each section is worth so you can budget your time.

If the test involves specific equations, conversions, dates or anything else that you must memorize, write it on the top or margin of the test paper as soon as the test is handed out. Remembering complicated equations and dates before you have answered any questions is a lot easier than trying to remember them after you have answered half of the test questions and you brain is starting to get tired.

Answer all easy questions first. This will help you get into the test taking mood and build confidence. Circle the numbers of the questions that you really have no idea about. You can come back to these later. Often times questions you answer later in the test might trigger something and help you answer a question that you were previously stuck on.

Narrow multiple choice answers down to the two you believe might be correct by crossing off the ones you positively know are not correct. This will improve your chances of guessing the right one.

True-False questions are often a favorite of some teachers and can be quite complicated at times. Keep in mind that every part of a true-false statement must be true in order to answer it as true. If any part is false, mark the entire statement false. You may want to underline the portion of the statement that you believe is false. If there are negatives in the statement such as “no or not”, and you are still not sure whether to mark it true or false, try re-reading the question without the “no or not”. Decide if this statement is true or false then answer the opposite on your test. Words indicating absoluteness (never, always, entirely, every, only, none) often tend to be used in false statements.

Try to construct concise answers that target the question and prove to the teacher that you know the material. Get right to the point in the first sentence or two of your answer. The rest of the answer should contain proof that you know what you are talking about. Give enough evidence to support your thoughts but don’t over-answer the question. Writing a lot of fluff will usually leave the teacher thinking that you are writing for the sake of filling the space and that you really don’t have a good handle on the correct answer.

Before you begin writing an essay, make sure you know exactly what the question is asking. Try to restate the question in your own words. If you can’t do this with confidence, make a quick visit to the teacher and have him or her clarify it for you. Once confident in what the question is asking, take a few moments to get your thoughts together and write some notes in the margin or even create an outline on scrap paper if you have time.

If you find that you are running short on time and still have some open-ended questions left to answer, write something rather than leaving the space blank. Create a brief outline to show the teacher that you do know the answer, but you didn’t have enough time to write an entire essay. You maybe able to get say more in an outline form than you can if you were only able to write a few opening sentences of your essay. Partial credit is better than no credit at all.

Once you believe you are finished with the test, reread everything again to be sure that you answered every question fully and completely. If you have time, cover up your answers with your hand or another sheet of paper and ask yourself what answer you would give if you had to answer the question again. Compare this answer with what you have already written down. Only change the original answer if you find that you made a silly mistake or originally misinterpreted the question. It is usually best to go with your original instinct when you are truly unsure of an answer.

Be neat. The last thing a teacher wants to do while correcting mounds of tests is to spend time deciphering what a student has illegibly written.

Go to .live-etutor.com for to learn more about online tutoring and schedule a tutoring session for your child. All tutors are screened and qualified.

In the first two parts, representing, adding, and subtracting numbers using base ten blocks were explained. The use of base ten blocks gives students an effective tool that they can touch and manipulate to solve math questions. Not only are base ten blocks effective at solving math questions, they teach students important steps and skills that translate directly into paper and pencil methods of solving math questions. Students who first use base ten blocks develop a stronger conceptual understanding of place value, addition, subtraction, and other math skills. Because of their benefit to the math development of young people, educators have looked for other applications involving base ten blocks. In this article, a variety of other applications will be explained.

Multiplying One- and Two-Digit Numbers

One common way of teaching multiplication is to create a rectangle where the two factors become the two dimensions of a rectangle. This is easily accomplished using graph paper. Imagine the question 7 x 6. Students colour or shade a rectangle seven squares wide and six squares long; then they count the number of squares in their rectangle to find the product of 7 x 6. With base ten blocks, the process is essentially the same except students are able to touch and manipulate real objects which many educators say has a greater effect on a student’s ability to understand the concept. In the example, 5 x 8, students create a rectangle 5 cubes wide by 8 cubes long, and they count the number of cubes in the rectangle to find the product.

Multiplying two-digit numbers is slightly more complicated, but it can be learned fairly quickly. If both factors in the multiplication question are two-digit numbers, the flats, the rods, and the cubes might all be used. In the case of two-digit multiplication, the flats and the rods just quicken the procedure; the multiplication could be accomplished with just cubes. The procedure is the same as for one-digit multiplication - the student creates a rectangle using the two factors as the dimensions of the rectangle. Once they have built the rectangle, they count the number of units in the rectangle to find the product. Consider the multiplication, 54 x 25. The student needs to create a rectangle 54 cubes wide by 25 cubes long. Since that might take a while, the student can use a shortcut. A flat is simply 100 cubes, and a rod is simply 10 cubes, so the student builds the rectangle filling in the large areas with flats and rods. In its most efficient form, the rectangle for 54 x 25 is 5 flats and four rods in width (the rods are arranged vertically), and 2 flats and five rods in length (with the rods arranged horizontally). The rectangle is filled in with flats, rods, and cubes. In the whole rectangle, there are 10 flats, 33 rods, and 20 cubes. Using the values for each base ten block, there is a total of (10 x 100) + (33 x 10) + (20 x 1) = 1350 cubes in the rectangle. Students can count each type of base ten block separately and add them up.

Division

Base ten blocks are so flexible, they can even be used to divide! There are three methods for division that I will describe: grouping, distributing, and modified multiplying.

To divide by grouping, first represent the dividend (the number you are dividing) with base ten blocks. Arrange the base ten blocks into groups the size of the divisor. Count the number of groups to find the quotient. For example, 348 divided by 58 is represented by 3 flats, 4 rods, and 8 cubes. To arrange 348 into groups of 58, trade the flats for rods, and some of the rods for cubes. The result is six piles of 58, so the quotient is six.

Dividing by distributing is the old “one for you and one for me” trick. Distribute the dividend into the same number of piles as the divisor. At the end, count how many piles are left. Students will probably pick up the analogy of sharing quite easily - i.e. We need to give everyone an equal number of base ten blocks. To illustrate, consider 192 divided by 8. Students represent 192 with one flat, 9 rods and 2 cubes. They can distribute the rods into eight groups easily, but the flat has to be traded for rods, and some rods for cubes to accomplish the distribution. In the end, they should find that there are 24 units in each pile, so the quotient is 24.

To multiply, students create a rectangle using the two factors as the length and width. In division, the size of the rectangle and one of the factors is known. Students begin by building one dimension of the rectangle using the divisor. They continue to build the rectangle until they reach the desired dividend. The resulting length (the other dimension) is the quotient. If a student is asked to solve 1369 divided by 37, they begin by laying down three rods and seven cubes to create one dimension of the rectangle. Next, they lay down another 37, continuing the rectangle, and check to see if they have the required 1369 yet. Students who have experience with estimating might begin by laying down three flats and seven rods in a row (rods vertically arranged) since they know that the quotient is going to be larger than ten. As students continue, they may recognize that they can replace groups of ten rods with a flat to make counting easier. They continue until the desired dividend is reached. In this example, students find the quotient is 37.

Changing the Values of Base Ten Blocks

Up until now, the value of the cube has been one unit. For older students, there is no reason why the cube couldn’t represent one tenth, one hundredth, or one million. If the value of the cube is redefined, the other base ten blocks, of course, have to follow. For example, redefining the cube as one tenth means the rod represents one, the flat represents ten, and the block represents one hundred. This redefinition is useful for a decimal question such as 54.2 + 27.6. A common way to redefine base ten blocks is to make the cube one thousandth. This makes the rod one hundredth, the flat one tenth, and the block one whole. Besides the traditional definition, this one makes the most sense, since a block can be divided into 1000 cubes, so it follows logically that one cube is one thousandth of the cube.

Representing and Working With Large Numbers

Numbers don’t stop at 9,999 which is the maximum you can represent with a traditional set of base ten blocks. Fortunately, base ten blocks come in a variety of colors. In math, the ones, tens, and hundreds are called a period. The thousands, ten thousands, and hundred thousands are another period. The millions, ten millions and hundred millions are the third period. This continues where every three place values is called a period. You may have figured out by now that each period can be represented by a different colour of place value block. If you do this, you eliminate the large blocks and just use the cubes, rods, and flats. Let us say that we have three sets of base ten blocks in yellow, green, and blue. We’ll call the yellow base ten blocks the first period (ones, tens, hundreds), the green blocks the second period, and the blue blocks the third period. To represent the number, 56,784,325, use 5 blue rods, 6 blue cubes, 7 green flats, 8 green rods, 4 green cubes, 3 yellow flats, 2 yellow rods, and 5 yellow cubes. When adding and subtracting, trading is accomplished by recognizing that 10 yellow flats can be traded for one green cube, 10 green flats can be traded for one blue cube, and vice-versa.

Integers

Base ten blocks can be used to add and subtract integers. To accomplish this, two colours of base ten blocks are required - one colour for negative numbers and one colour for positive numbers. The zero principle states that an equal number of negatives and an equal number of positives add up to zero. To add using base ten blocks, represent both numbers using base ten blocks, apply the zero principle and read the result. For example (-51) + (+42) could be represented with 5 red rods, 1 red cube, 4 blue rods, and 2 blue cubes. Immediately, the student applies the zero principle to four red and four blue rods and one red and one blue cube. To finish the problem, they trade the remaining red rod for 10 red cubes and apply the zero principle to the remaining blue cube and one of the red cubes. The end result is (-9).

Subtracting means taking away. For instance, (-5) - (-2) is represented by taking two red cubes from a pile of five red cubes. If you can’t take away, the zero principle can be applied in reverse. You can’t take away six blue cubes in (-7) - (+6) because there aren’t six blue cubes. Since a blue cube and a red cube is just zero, and adding zero to a number doesn’t change it, simply include six blue cubes and six red cubes with the pile of seven red cubes. When six blue cubes are taken from the pile, 13 red cubes remain, so the answer to (-7) - (+6) is (-13). This procedure can, of course, be applied to larger numbers, and the process might involve trading.

Other Uses

By no means have I explained all of the uses of base ten blocks, but I have covered most of the major uses. The rest is up to your imagination. Can you think of a use for base ten blocks when teaching powers of ten? How about using base ten blocks for fractions? So many math skills can be learned using base ten blocks simply because they represent our numbering system - the base ten system. Base ten blocks are just one of many excellent manipulatives available to teachers and parents that give students a strong conceptual background in math.

The base ten blocks skills described above can be applied using worksheets from .math-drills.com. The worksheets come with answer keys, so students can get feedback on their ability to correctly use base ten blocks.

Starting your class on the right foot each day is very important to both you and the students. There are certain expectations you will have, be they required materials (texts, folders, gym clothes), basic supplies (pencils/paper), or behaviors (on time, in seats, working on opening activities). You are going to want these expectations met every day.

We designed a simple set of 5 rules to start out every class. These are easy to remember and easy to keep track of. Several of our teachers use a variation of the 5 rules to start their classes, and you may feel free to adapt these to your class. These are the rules I use in English class:

Rule 1: Students must be in their seats when class begins. In some schools, classes begin (and are dismissed) by a bell. Some classes begin at a specific time. Still other classes are started by a particular signal from the teacher.

Rule 2: Students must have a writing instrument. Again, different teachers have different expectations, be it pencil or pen or whatever. For me, it doesn’t matter as long as it s dark enough to read. I only balk at silver, gold, white, or any other light or fluorescent color (hot pink or yellow for example).

Rule 3: Students must have their folder out on their desk. Each of our classes requires students to keep important papers, notes, and other course artifacts. Some teachers allow students to keep these, and others provide a location in the room for folders.

Rule 4: Students must have all required materials for class that day. To reduce the number of times students ask me about what they need for the day’s class, I will either write the materials list on the board or put it on the class announcements on our TV (watch for the article on creating a class cable TV network our upcoming March issue).

Rule 5: Students must be working on the class warm up activity. In English class, students write out Daily Oral Language (DOL) sentences, practicing proofreading skills. On the edge of each day’s entry are the numbers 1 through 5, making it easy to grade. All you have to do is circle the appropriate number.

Again, we give each student a daily grade of points (1-5). Some teachers have only four rules and one rule is worth 2 points. You can change up and set your own rules and create an easy to grade set of points to fit your own classroom.

After a few weeks of practice, the checking of daily points becomes a student job. One student from each group (the RECORDER) gets the weekly responsibility to check the students’ daily points and circle the proper number. The teacher is freed up for other activities, and you only need to spot check through the room. This way I can record the daily points only once every two weeks and they are already tallied up for me.

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For this article, and more on teaching and education, be sure to check out our website:

.starteaching.com

Frank Holes, Jr. is the editor of the StarTeaching website and the bi-monthly newsletter, Features for Teachers. Check out our latest issue at:

.starteaching.com/Features_for_Teachers_2feb2.htm

You can contact Frank at:

editorstarteaching.com

Much has been said and written lately about providing students with choices. I’m all about any methods which will improve student involvement in class, giving them ownership in their learning. There are many ways to give students choices, options, or just to provide random results and change up the monotony. This article will discuss how to use random results in typical class situations.

One technique I use is drawing from a hat (or mug, box, basket, or other container). You can choose anything to put in the hat, and decide if you or the students will do the drawing. You can draw, or let your students pick. I try to keep the ‘hat’ above the chooser’s head so there is no possible way to cheat on the draw.

In the hat I like to use different colored poker chips: white, red, and blue. We will use these for many applications, or at least any that involve three different outcomes. When grading freewrites, for example, drawing a blue chip means I take an immediate grade on the assignment

A white chip means “thank you for writing today”, but we aren’t going to grade it, just file the writing into your folder. A red chip indicates I’ll collect the papers, read over them, grade them, and select a few to write comments upon. By drawing a chip, the students don’t know if the assignment will be graded or not, so they must do their best. However, for the teacher, the students are writing more but you don’t have to grade every paper!

We will also use the chips for minor homework assignments. Same idea - white is a no grade, blue goes immediately to the grade book. But on red chips, I’ll allow a minute or two to fix mistakes before I collect them. It depends on the situation. It’s that simple. And the students never know if the assignment will be graded or not, so they have to do their best just in case.

Another technique is to use strips of paper in a coffee mug for completely random choices. This is great for games like charades where students draw random words, topics, or choices. This could be used to randomly discuss class topics or answer questions.

I like to use this for choosing project topics. Put slips of paper numbered 1 through however many students are in the class. Fold the slips and then have students draw their own place in the waiting line. Whoever has the slip #1 gets first choice of topics, #2 chooses second, and so forth. No one can claim a biased order of selection! This is great for research paper topics, where you don’t want students choosing the same topics.

We will also use small slips of colored paper to form random groups of students. If I want four different groups, figure how many students you want in each group and tear that many small slips of colored construction paper. Do this for each group, using different colors. I find this is a good use for scraps of paper left over after an art project (the thick paper holds up better). Then go around the room and let the students ‘choose’ their group. Collect the slips back after recording the groups & names so you can re-use the slips again.

You could use all sorts of everyday items to get random choices. Flip a coin in a two-choice situation. A die or pair of dice can give you even more choices. You could even use a deck of playing cards.

To randomly call upon students, we utilize note cards filled out with student names and personal information. At the beginning of the year, students write their name, parents’ contact info, text book numbers, hobbies/interests, and other information on a regular 3 x 5 index card. I then collect these and pull them out, shuffle, and select a random card (with the student’s name on it.) Voila! Random selection of students.

And if you want to ensure you call upon everyone equally, just don’t shuffle the cards, and place the used card at the back of he deck. You can cycle through the card deck over and over, ensuring you’re calling upon every student equally.

Cards, dice, coins, poker chips and simple slips of paper can be easily used to make random selections in class. We’d love to hear any other ‘random acts’ ideas and techniques you may have. We’ll add them to this article and post them on our website with credit to you!

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For this article, and more on teaching and education, be sure to check out our website:

.starteaching.com

Frank Holes, Jr. is the editor of the StarTeaching website and the bi-monthly newsletter, Features for Teachers. Check out our latest issue at:

.starteaching.com/Features_for_Teachers_jan2.htm

You can contact Frank at:

editorstarteaching.com

Base ten blocks are an excellent tool for teaching children the concept of addition because they allow children to touch and manipulate something real while learning important skills that translate well into paper and pencil addition. In this article, I will describe base ten blocks and how to use them to represent and add numbers.

The numbering system that children learn and the one most of us are familiar with is the base ten system. This essentially means that you can only use ten unique digits (0 to 9) in each place of a base ten number. For instance, in the number 345, there is a hundreds place, a tens place and a ones place. The only possible digits that could go in each place are the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9. In this example, the place value of the ones place is 5.

Base ten blocks turn the base ten concept into something children can see and touch.

Base ten blocks consist of cubes, rods, flats, and blocks. Cubes represent the ones place and look exactly like their name suggests - a small cube usually one centimeter by one centimeter by one centimeter. Rods represent the tens place and look like ten cubes placed in a row and fused together. Flats, as you might have guessed, represent hundreds, and blocks represent thousands. A flat looks like one hundred cubes place in a 10 x 10 square and attached together. A block looks like ten flats piled one on top of the other and bonded together.

In order to use base ten blocks to add numbers, students should be familiar with how to represent numbers using base ten blocks. To see what base ten blocks look like, and to try them out, go to the National Library of Virtual Manipulatives:

nlvm.usu.edu/en/nav/frames_asid_154_g_1_t_1.html

To represent a number using base ten blocks, make piles of base ten blocks to represent each place value. If your number was 2,784, you would make a pile of 2 blocks, a pile of 7 flats, a pile of 8 rods, and a pile of 4 cubes. It is useful to arrange the piles in a row in the same order that they appear in the number as that will be useful later on when children learn the paper and pencil algorithm.

Another useful skill to practice is trading base ten blocks. Each block can be traded for 10 flats, each flat for 10 rods, and each rod for 10 cubes. Going the other way, 10 cubes can be traded for one rod, 10 rods for one flat, and 10 flats for one block.

One simple use of base ten blocks that translates well to a paper and pencil method of addition is to add by regrouping. To add two or more numbers, start by representing each number with base ten blocks. Put all of the cubes from both numbers in the same pile; do this with the rods, flats, and blocks as well. Next, trade any groups of 10 cubes for a rod. Trade any groups of 10 rods for a flat; then trade any groups of 10 flats for a block. To read the resulting number, count the number of base ten blocks left in each pile and read the number.

To illustrate this procedure, picture the addition question, 568 + 693. After representing both numbers with base ten blocks and combining the piles of like base ten blocks, you should have a pile of 11 cubes, a pile of 15 rods, and a pile of 11 flats. Trading 10 of the cubes for 1 rod means you now have 1 cube, 16 rods and 11 flats. Trading 10 of the rods for one flat results in 1 cube, 6 rods, and 12 flats. Trading 10 of the flats for one block gives you your final piles of 1 cube, 6 rods, 2 flats, and 1 block. The answer to the addition question, therefore, is 1,261.

If you don’t have base ten blocks, you can use the virtual base ten blocks or make paper versions. If you need addition questions (with the answers included), you can access thousands of free math worksheets at .math-drills.com

In future articles, I will describe more uses for base ten blocks including subtraction and multiplication, and I will continue the series with other manipulatives that can help your child or student learn math.

Listening

What is true listening? Dr. James Jones suggests that true listening is not advise, counsel or trying to solve problems. Listening is just hearing what your troubled teen has to say. Parents often respond to a teen with comments that are judgmental, advisory or are non- accepting in some way. These responses “close” or shut down the conversation and do not promote further dialogue.

Closed responses also “discount” the other person.

Open responses are a much more productive method of communicating with a defiant teenager. These responses are nonjudgmental, and have no suggestions or solutions. The response is one of simply accepting what is being said. These responses reflect both the content and the feelings the child is projecting to you as the parent.

In the book Let’s Fix the Kids by Dr. James Jones he gives an example of closed parent response and an example of open parent response.

Closed parent response

Teenager:

My science teacher gave me a “C” on that science project. I can’t believe it!

Parent:

1. I told you to type it but you won’t ever listen will you?

2. Don’t complain; we get what we deserve.

3. Teachers aren’t unfair; what did you mess up this time?

These are called “closed responses” because they effectively close down communication between a parent and struggling teenager. They are usually “put downs” in the form of giving advice or criticism.

Open parent responses

Teenager: I can’t believe Mr. Green gave me a “C” on my science project after I spent weeks on the stupid thing.

Parent: It sounds to me like you’re very disappointed (feelings) only getting a “C” after doing that much work. (content)

Teenager: Besides that, he gave Don an “A” because he did the project Mr. Green suggested.

Parent: Have I got this right? You feel angry (feelings) because Mr. Green is being unfair. (content)

Teenager: You’d better believe it! Anyway I learned a lot from my project; it really was hard!

Parent: Then in spite of the disappointing (feelings) grade, are you glad (feelings) you stuck to your more difficult project? (content)

Teenager: Yeah! I guess I am, but I thought I was going to get an “A” for sure. Hey… what is there to eat?

LISTEN!

* When a troubled teen asks you to listen to them and you start giving advice, you have not done what they asked.

* When a struggling teen asks you to listen to him and you begin to tell him why he shouldn’t feel that way, you are trampling on his feelings.

* When a defiant teen asks you to listen to them and you feel you have to do something to solve his problem, you have failed him, strange as that may seem.

* Listen! Your teenager asked you to only listen, not talk or do, just hear him.

* Advice is cheap; you can get both Dear Abby and Billy Graham in the same newspaper.

* Your teen can act for himself. He is not helpless. Maybe discouraged and frustrated, but not helpless.

* When you do something for your teen that he can do for himself, you contribute to his fear and weakness.

* But, when you accept as a simple fact that your teenager does feel what he feels, no matter how irrational, then you can quit trying to convince him and get about the business of understanding what’s behind this irrational feeling. And when that’s clear, the answers are obvious and he won’t need advice.

* So, please listen and just hear your struggling teenager. And, if you want to talk, wait a minute for your turn; and He’ll listen to you.

Sources: “Let’s Fix the Kids” by Dr. James Jones. Text was slightly modified to fit a teenager.

More than likely, when you learned how to add, you started on the right and moved to the left. If you were adding whole numbers, you added the ones, “carried” if necessary, and repeated for the tens, hundreds and so on. This works well on paper, and it is the most efficient paper and pencil method; however, adding in the other direction has several desirable advantages: the left to right method promotes a better understanding of place value, it can be done mentally with much greater ease, and it does not require that numbers be lined up in a column. Students can learn left to right addition, so they have another method to choose from when presented with addition problems.

Left to right addition involves adding the largest place values first. As you move from left to right, you keep a cumulative total, so it is simply a number of smaller addition problems. To give you an idea of how it works and what it sounds like, consider the example, 677 + 938.

Begin by adding the left most place values. In the example this is 600 plus 900 equals 1500. Add the values in the next place, one at a time, to the previous sum, and keep track of the new sum each time. In the example, 1500 + 70 is 1570, 1570 + 30 is 1600. For students who are more proficient at this algorithm, they don’t necessarily think “plus 70″ or “add 30.” Their thought process, if said out loud might sound like, “600, 1500, 1570, 1600, . . .” Continue adding the values in each subsequent place until finished. The final steps in the example are 1600 + 7 is 1607, 1607 plus 8 is 1615. The sum is 1615.

As you can imagine, students need to be proficient at single digit addition and have an understanding of place value before attempting left to right addition. When they are first learning it, they might try repeating sums as they go along (e.g. 1500, 1570, 1570, 1570, 1600, . . .) to help them retain the newest sums. They might also cross out digits as they are adding. There is no rule about having to add in this way mentally. Students could write down the sums as they proceed.

Left to right addition promotes a better understanding of place value than right to left addition. In right to left addition, single digits are carried or regrouped with little emphasis placed on what the value of those carried digits are. In the example, 1246 + 586, students add 6 + 6 to get 12; they write down the 2 and carry the 1 when they should be carrying the ten. In the next step, they add 8 + 4 + 1 to get 13; they write down the 3 and carry the 1 when they should be adding 80 + 40 + 10, writing the 3 in the tens place (i.e. 30) and carrying the hundred. Essentially, right to left addition excludes vocabulary related to place value. Left to right addition, on the other hand, promotes an understanding of place value as each digit is given its correct value. In the example, the one in the thousands place is one thousand, the two in the hundreds place is two hundred, and so on.

Left to right addition is well-suited to mental addition since the sum is cumulative with no steps in between; in other words, there is nothing for the student to keep in mind except for the cumulative sum. In right to left addition, several numbers must be remembered as the student proceeds. To illustrate this, consider the simple example, 64 + 88. In left to right addition, the sum is simple to find: 60, 140, 144, 152. Only one number had to be remembered at any point. In right to left addition, 4 + 8 is 12, so there are already two numbers to remember: the two in the ones place and the regrouped ten. The next step is to add 60 + 80 + 10 to get 150. At this point, the two must be recalled and added to the 150 to get 152. Although this sounds simple, it becomes more complicated with more digits.

Right to left addition does not require numbers to be lined up in a column, but it is often taught that way because the method tends to ignore place value and relies on a student’s ability to line up the place values to compensate. Many errors that students make in right to left addition occur because they don’t have a strong knowledge of place value, and they forget or don’t realize that like place values need to be lined up. They might, for instance, add a digit in the tens place to a digit in the hundreds place. Another scenario is a sloppy recording of numbers where a digit is mistakenly added to the wrong column. In left to right addition, the emphasis is on finding a certain place value in each number rather than relying on the place values being aligned. Students, of course, need to be able to recognize place value before they can be successful at this method. For instance, they should be able to recognize that the ones in the numbers: 514, 1499, and 321 are in the tens, thousands, and ones places respectively. If they can’t, further teaching on place value is required before addition can be taught effectively.

Although left to right addition has several advantages, it isn’t suggested that you scrap everything else. Learning a wide variety of addition methods allows you latitude in problem solving situations. By teaching students this method, you give them another option when they are tackling addition questions.

Ever wonder if you and your students could create your own TV news show? Would you like to have announcements and school/class information available to students all class long? Would you like to avoid those students who were absent constantly asking you, “What did we do in class yesterday?” It isn’t only possible to do, but with a few pieces of equipment, it’s easy to set up and run.

You, of course will need several pieces of hardware, including a TV or (digital projector) and a computer. You will also need the proper cables to connect the two. We’ve discovered that sometimes the resolution on some computers needs to be adjusted or changed, so check your monitors setting. You might even need a scan-converter if all else fails. Such a TV network can also be simply set up on a computer monitor which is turned to face the students.

Your computer will also need PowerPoint (or an equivalent presentation software). We’ve used such programs effectively on Macs, as well as Linux and Windows machines, and they all work well for this application.

PowerPoint has the feature of progressing through information or slides by either clicking your mouse, or by setting up timings between every action. Thus, you can have each word, line, paragraph, or even graphic animated automatically. You can change up the settings for different bits of info you have. Check the top menu for ’slide show’, and follow down the menu to ‘custom animation’ (or look for a similar command). Once there, you can select each element to animate, the type of transition to occur, any sound you want associated with it, and also the timing (automatic, not on a mouse click). You will want to practice a few times until your timing is good, and there are enough seconds to see or read each element before the next animation or transition.

Even your slides can be changed automatically. Go to the ’slide show’ menu and select ’slide transition’ or ’set up show’. From there, you can choose the type of transition, and even its speed of animation.

You may wish to check your computer’s settings so the machine doesn’t go to sleep on you, or change to a screen saver. That would definitely defeat your purpose!

Now that you know how to set up a show, you have to decide what material or information to put out on display. I put up basic information such as the lunch menu, school or class announcements, and homework assignments. I will also post a class schedule and switch times if the daily schedule is altered. For the students who were absent, we also display class notes from previous classes. Now there is no excuse for students missing assignments or class information! And this saves you from having to deal with every returning student asking what was missed and where to find it.

If you are brave and want to create a great class project, have your students run your daily announcements. You could partner them up and have your first class of the day create the announcements. Another project is to have your students create storyboards, where a short story is broken up among a number of slides, each slide including pictures, clip art, or graphics to illustrate the story. You can find many good images online or in the clip art of your program. If you have access to a digital camera, you can even have students take their own pictures and insert them.

Yet another project we’ve done is to create a PowerPoint to summarize one class or a week’s worth of class info. This becomes an animated newsletter or magazine. Again, assign a student to take photos on a digital camera during the class and combine these with articles on the various activities you’ve done. You might want to include students’ work as examples.

There are also advanced techniques you can experiment with as you get better with the program. Sound can be added, such as background music, songs, or voice recordings. There are also ways to include video. Become an expert with the basics, and you’ll be ready for these advanced techniques.

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2 years, 3 years, 6, 8, 12, 15, never, when do we start the process of introducing children to computers? Educators, parents, even gray-haired and learned professors cannot agree. The second question that then arises is whether computer based content positively or negatively affects the learning process. I can hear the screams of protest and support in full interactive, multi-media, broadband enhanced detail even as I write. Meanwhile millions of dollars are being spent to bring computers and the Internet to elementary schools around the globe. The only area all agree on, well maybe, is that all students should be taught how to use computers and the Internet eventually. As all will need an understanding of technology to enjoy the products of technology and in many cases within the future work environment. In this article I will try to summarize some of the arguments for and against technology in early education and finally to make a synopsis of how I believe we should address this vital issue. Firstly lets take a look at the arguments for early introduction.

Pros

Future Needs: The use of computers and an understanding of how to use the Internet are already critical to modern society today in manifest directions. These include, the work environment, information gathering for work orpleasure, shopping, communications etc. and if true today, how much moretomorrow. The Office of Occupational Statistics and Employment predicts thatthe computer industry will continue to show the greatest growth of any industry in the USA. According to the Bureau of Labor Statistics (BLS), more than half of all workers used a computer on the job in September 2001. And nearly three-fourths of those workers connected to the Internet or used e-mail.

Early Skills Acquisition: As with all fundamental skills, the earlier the education system allows students to become familiar with technology the greater will be their depth of understanding and effectiveness in using it. It is immaterial to argue that skills acquired today by a five year old will not be relevant later in life because technology will develop beyond comprehension. This is because skills acquired can focus on an understanding of what computers can do rather than just how to interact with today’s computers. In addition, once the initial ground work has been obtained the potential for adaptation to a dynamic system can be incrementally updated in the same way as adults have to adapt to new technology.

Personalization: Computer based content allows a level of individual engagement and interactivity that comparative learning systems fail to deliver. By its nature learning with the computer is a one-on-one experience or at worst, small groups. This alleviates the paradigm of large classes with minimal personal intervention.

Learning Levels: Computers allow users to individualize their speed of attainment to suite their personal needs and capabilities. The speedy are not held back and those that need greater repetition are not passed over. Additionally special groupings can be more easily and effectively catered for.

Wide Distribution of Quality Teaching: Computer based learning allows the maximum effectiveness and distribution of the best quality teaching and content. A great teacher is not limited by the classroom but can reach out across the Internet to thousands either through building digital lessons or distance learning software and programs. Most distance learning systems today can be configured as live broadcasts with high levels of interactivity with the teacher. Now, here are the equally strong arguments against.

Con’s

Accessibility and Suitability: If an individual does not have access to a computer or does not understand the content through a language deficiency or cultural differences, they will be relegated to the digitally divided, 44 million at the last count just in the USA according to Professor Howard Besser, The Next Digital Divides.

Interfering with Natural Development: Young children should be utilizingtheir natural propensity for physically based activity rather than be ‘stuck’ infront of a computer. They already spend damaging amounts of time glued to televisions, as researchers have discovered, that impairs development. Our children, the Surgeon General warns, are the most sedentary generation ever.

Lack of Depth: Computer based content is a long way from offering the depth, flexibility and tried and tested results that a trained, dedicated and experienced teacher can offer children. In addition, the interaction with a sophisticated adult allows critical advanced vocabulary and personalization skills.

Quality of Content: Most digital content is overly simplistic in its structure. For example, a sum can only be wrong or right. The content will not explain to the student why the sum was wrong. A real teacher will mark a piece of work and offer the essential logic reasoning for the decision that will enable the student to gain a fundamental understanding of the system behind what constitutes correct/incorrect.

Health Hazards: Computers pose health hazards to children. The risks include repetitive stress injuries, eyestrain, obesity, social isolation, and, forsome, long-term physical, emotional, or intellectual developmental damage.

Safety: Children must be protected from the dangers of the Internet, stalkers, adult content, hate and violence. Filtering software is notoriously inefficient.

By no means am I attempting to articulate all the arguments or cover them inreal depth but just to raise some of the issues we all face. In my opinion both the Pros and Cons are very strong arguments all of which need serious consideration and answers.

Now to put this in to an importance perspective, digital technology is invading virtually every aspect of modern society and its impact is becoming fundamental to how we work, play and learn. Technology within education also has a huge role to play but its’ effectiveness and impact has not been studied in the depth and breadth that such a fundamental development requires.

In the work environment, mistakes in the use of technology are paid for inmonetary terms. How much less can we afford to make mistakes with introducing technology to our children, mistakes made here cost far more than damaged business, with education we are talking damaged lives. At the moment we just seem to be ‘throwing’ computers and the Internet at teachers and children, as I state above, without any real understanding of what we are actually doing to the children or should I call them ‘guinea pigs’.

The logic seems to be, at least on the governmental level, that we cannot afford for the coming generation not to be computer enabled, as this ability will be critical for a country to be economically competitive. In fact every country is being driven to ensure it’s digital competitiveness. At a governmental level this logic is difficult to fault but it is our job as educators and parents to ensure thatthe effectiveness of the headlong plunge is in the best interests of all the children.

My opinion is that large-scale research in to the issues needs to be carried out. Not on the scale of a few dozen subjects over weeks as many examples of current research do, but thousands or even tens of thousands of subjects over years.

These subjects need to be from 2 years to 8 years old. They need to bewidely dispersed geographically. Come from all levels of the social andattainment spectrum. In fact technology and the Internet is a perfect platform to carry out this type of research. I founded the Internet based Kindersite Project to enable researchers to accomplish this type of wide-scale program.

I believe that only significant research that studies thousands of subjectchildren over a long-term, years probably, will allow the educational community to really gain full and meaningful answers to the questions such as:

Does the early introduction of digital content positively or negatively affectyoung children?

What should be the parameters of the introduction (if any)?

What content types should be employed within the introductory process?

What constitutes ‘good’ or ‘bad’ content and why?

What parameters define ‘good’ or ‘bad’ content?

As a result of sustained and profound research, guidelines should be drawn. These guidelines should offer teachers and parents tried and tested parameters for the use of computers for their children at each age level. It should include areas such as; how long should a child use a computer over a period, maximum and minimum attainment levels to be expected for each age group based on set proficiency standards, how digital content should be integrated in to standard lesson plans in a similar way that other media isused.

Most importantly, set standards for educational content providers must be laid down that they must adhere to if they wish to produce educational content utilizable by educationalists.

In addition all young childrens’ content, educational or leisure should be labeled with its appropriateness for each age group. These standards should be defined by the research.

In conclusion, it is fairly obvious that computer based educational content is becoming a feature of schools, whether we like it or not. In the home we see increasing evidence that even the smallest children are gaining access to computers either with parents or through watching older siblings. It is unreasonable to expect to turn back the clock and bar children below a certain age from computers, this is unenforceable and ineffective.

It is our duty to ensure that clear usage standards are set, content guidelines are drawn and sites rated at a governmental level so that children, parents, caregivers and educators have a clear and safe basis for using computers and the Internet with their charges. Anything less is an abrogation of all our responsibility.