Math Skills

"When am I ever going to use this?" It is a question that becomes harder to answer as students move from beginning math to more advanced concepts. It is nearly impossible to come up with a real ­life application for knowing how to prove trigonometric identi­ties. If our students are never going to use anything they learn in math after seventh grade, why bother teaching algebra and be­yond? The answer is simple. We continue to teach math because it teaches students how to think. If students never learn how to look at a problem and create the logical steps necessary to solve it, they will experience difficulties in many areas of their entire adult lives.

To succeed in math, students must remember and consistently apply previously learned concepts. For example, in the problem 46535 divided by 15, there will be at least 5 double-digit multipli­cation problems (a total of 10 single-digit problems). Even if a student is 90% accurate in single-digit multiplication and 100% accurate in subtraction, probability tells us the student has only a 35% chance of getting the division problem correct. That is why it is imperative students master the basic skills of math. Many students who begin to struggle with math in late elementary school do so because their lack of mastery leads to compounding errors. Math also gives some students trouble because the answer is ei­ther right or wrong. There is no such thing as an "opinion" in math (or at least not until a student advances far beyond high school). Students learn early on in elementary school that whether or not their answer is correct depends, at least in part, on their teacher's opinion. This is not the case with math. Regardless of personal opinion, 2 x 5 will always be 10.

There are three elements of math that contribute to a student's success or failure: concepts, methods, and habits. If a student understands the concepts, he/she understands the reason be­hind what he/she is doing. A student who understands the con­cept of multiplication can tell you 2 x 5 is just a shortcut for 2+ 2+ 2+ 2+ 2. When a student has difficulty, the concept should be explained repeatedly, in a variety of ways, until the student understands it.

The method of math refers to the steps in the process. For ex­ample, there is a specific method of adding two-digit numbers. Since most of the teaching time in a math class is commonly spent on method, students don't usually struggle with this area of math. If they do, practice makes perfect. Writing out the steps for them and having them work through the process until they have it memo­rized, then reviewing it for several weeks, usually clears up the prob­lem permanently.

The most common downfall for math students is not their lack of understanding of concepts or methods, but their habits. Math, in part because it is so black and white, requires more rigorous work habits than other classes. Students may get by in other classes with poor handwriting, but failure to neatly line up numbers in math leads directly to missed problems and lower grades. Related to poor handwriting is a lack of attention to detail. Sometimes a student will miss a problem simply because they failed to carry a negative sign; other students do poorly on assessments because they fail to carefully look at the question. Another bad habit that contributes to difficulty in math is the use of shortcuts. Students who excel at math in the early grades are most likely to fall prey to this problem. Because they can solve a problem without going through the method the teacher presents, they assume they "al­ready know how" and tune out the teacher's instruction. Then one day they find they can't solve problems in their head anymore and don't have the skills to methodically work through problems.

Students may struggle in math for a variety of reasons. It is best not to wait until a student fails to provide help. Early intervention minimizes the self-esteem and behavioral problems associated with failure. A dedicated team of student and teacher, both willing to put forth the effort required, will ensure success for the student. While math may never top the list of students' favorite subjects, it need not be the dreaded torture many students fear. Given the right conditions, all students can master the skills necessary to succeed in math.

Reading Skills

The purpose of reading is to comprehend and use written information efficiently and effectively. Reading is a form of communication essential in today's society. Reading skills CAN and MUST be learned.

Basic reading skills must be successfully developed in the primary grades. Unfortunately, many children experience reading failure in the early grades, thus limiting their school success, negatively impacting their self- esteem, and delaying skill development in all academic subjects. Older students who appear to have study skills and motivational issues often have not developed the reading skills necessary to succeed in content area courses.

Recent research findings indicate reading disability/dyslexia, the most common neurobehavioral disorder that affects 1 in 5 children, is related to an underactivated area of the brain (left thalamus). Findings further indicate code instruction, or phonics, stimulates this area of the brain, significantly improving reading performance when measured 1 to 5 years later and also produces stronger outcomes in math. Phonological awareness (an awareness that words are composed of sounds) must be taught to 20-30% of the population and is the most important predictor of reading success in children and young adults. (Dr. Shaywitz of Yale Research Center, published in LDANews Briefs,july/Aug 1996)

Just as students differ, student learning styles differ. While some learn to read with a phonetics approach, others find a meaning-based approach more successful. Many students enjoy success with a combination of approaches. No single method is effective for everyone.

Building a good reading program requires careful consideration of the components of the program, the materials to be used, and the strategies to be implemented. All good reading programs include instruction in phonetic skills (encoding and decoding), vocabulary development, reading for fluency and comprehension, and writing. As a student's skill level increases, so does the complexity of each component of his/her program. A beginning reading student will work heavily with sight vocabulary, whereas a high school student reading at grade level will develop a more complex vocabulary.

The materials used to teach the four components of a reading program must all be at the student's instructional level. For reading, an instructional level is the level at which a student can read the material with 80% accuracy. For students with a reading level lower than their grade level, it is important to use materials with an interest level higher than the reading level.

Using a direct instruction, multi-sensory approach to reading instruction has proven effective. This approach is effective whether the student is a visual, tactile, or auditory learner. The instructor should constantly monitor and adjust the instruction based upon the needs of the student.

It is neither necessary nor desirable to wait until a student faces failure before providing help. Rather, it is critical to identify students with reading weaknesses early, before lack of school success affects self-esteem and behavior. With early intervention, the effects of failure are usually minimized. If students with marginal drops in performance seek appropriate help, they can quickly gain the skills needed to perform at grade level.

Writing Skills

When we were children, learning to write was an adventure we were eager to embark on. The thrill of etching one's own name was only the beginning. Almost immediately we took to graffiti, communicating our deepest desires, beliefs, and fears in concise phrases: "I was here," ''Annie stinks," and "I love Mike." We understood tacitly what years of schooling since then have tried to unteach us-that writing is a new kind of power to wield.

Somewhere along the line, however, between the redpenned comma corrections and lectures on misplaced modifi- ers, we've forgotten that writing is about communication, not the elimination of errors. The incentive to learn how to use correct grammar and punctuation or to work on transitions and introductions is much greater when we understand that there is a practical purpose for our learning. The focus in language arts classes on the elimination of errors has poisoned many students' relationship with writing, leaving them frustrated, impotent, and antagonistic. The top 5 excuses and complaints I've heard from students speak volumes.

1. "I don't need to learn to write; I'm not going to be a writer when I grow up.” We are all writers. We use our writing skills (or are made aware of our deficiency in them) everyday to communicate with the world around us. For some of us, however, writing is an effortless exercise we use to our advantage, while for others the task is uncertain, painful, and loaded with the potential for ridicule.

2. "I'm not doing too well in English, but I'll make up for it in other areas." Writing is not an isolated skill. Failure to achieve proficiency in writing will affect a student's performance in all content-based courses including history, science, cultural studies, and government.

3. "I'll learn to write in college." It is generally taken for granted in college that a student already knows how to write. College courses push forward with specialized material, forcing those with deficient writing skills to work twice as hard for half the payoff.

4. "I know it's what I want to say, so why write it? It's just an academic exercise." We don't emphasize enough in school that writing is a learning process, not an exercise in regurgitation or stenography. When we write on a topic we learn more than we began with; our ideas become complicated, elaborated on, and more meaningful.

5. "I have nothing to say." When I hear students say this, I immediately interpret it as "I have lots to say, but I have nothing to communicate that I believe is worth writing." This inability to see writing as a form of communication intimately connected to both speaking and reading is detrimental to academic success, and can result in perpetual writer's block.

Writing is essential in today's society for personal growth, respect, and a professional edge. We should insure that when our children leave high school, their ability to write is a reliable tool that opens doors, rather than a source of insecurity and frustration. Students who develop good writing skills early on:

• Enjoy greater self-confidence 

• Perform better on all written tests 

• Have more energy to devote to the" content" of content-based courses 

• Get better grades • Are more fully prepared to handle the academic expectations of college 

• Are a few steps ahead when it comes to "real world" challenges such as applying for jobs,

communicating with employers, raising kids, and contributing to a community 

It is never too early to start building a positive and productive relationship with writing and the English language.