<p>californiaaa - we had to fight the school to get to get algebra in 8th grade. That is the situation in most of the country.</p>
<p>The why of math has nothing to do with essays and explanations. Teaching why of math has everything to do with being able to use math to solve a problem they haven’t seen before. Learning to use the math and not just learning the techniques.</p>
<p>Right now we are teaching are kids how to become robots. They can follow the steps they are programmed to follow, but heaven forbid you give them a different problem. </p>
<p>In Japan, for example, math is not all about the numbers. Read “The Teaching Gap” by James Hiebert and James Stigler where the authors compare math in the US, Germany and Japan…</p>
<p>"In contrast, the emphasis in Japan is on understanding concepts, and typical lessons could be described as follows:</p>
<pre><code>1. Teacher poses complex thought-provoking problem.
2. Students struggle with the problem.
3. Various students present ideas or solutions to the class.
4. Class discusses the various solution methods.
5. The teacher summarizes the class’ conclusions.
6. Students practice similar problems. [1, p. 42]
</code></pre>
<p>"</p>
<p>Over particular importance is step 2 and step 4. The kids STRUGGLE and then work in GROUPS on finding solutions.</p>
<p>as opposed to America …</p>
<p>"The study reports that eighth-grade lessons in Germany and the U.S. emphasize acquisition of skills in lessons that follow this pattern:</p>
<pre><code>1. Teacher instructs students in a concept or skill.
2. Teacher solves example problems with class.
3. Students practice on their own while the teacher assists individual students. [1, p. 42]"
</code></pre>
<p>The authors go on to say that in Japanese math teaching, 44% of the lessons contain problems where the students need to come up with a creative use of the tools they have already learned to solve a problem. This is the math needed for advanced science classes. This is the math needed to be successful in college.</p>