- Fewer Topics per GradeThere are only about half as many new topics per year, so you'll have more time to spend on each topic. Most textbooks in recent years often "covered" 120 to 160 objectives per grade, while Common Core can be broken down into about 60 to 70 objectives per grade. One reason that textbooks included content "a mile wide and an inch" deep is that standards from state to state were inconsistent; publishers shoved in extra content to match checklists for curriculum committees in various states. Textbooks included a lot of duplication from one grade to the next. In CCSS, duplication is minimal. Review of the prior year will occur when extending the concepts and in the context of problem solving.
- More Emphasis on Developing Understanding before Introducing Algorithms
As a tutor, I work with many students who apply algorithms without regard to meaning. For example, when asked to find half of 18, one student wrote 1/2 x 18/1 = 18/2 = 9. This is a clue that the student does not really understand "half" and was taught the multiplication algorithm for fractions too soon. The Common Core standards often require computation "using place value" or "using models" the year before the algorithm is introduced. As students use models and place value, they develop a deeper understanding of the concepts. Then, when algorithms are introduced, students will be able to understand the algorithms and apply them more appropriately. - More Emphasis on Fluency
Studies have shown that students who are more fluent with basic math will be better problem solvers. (Source: http://www.scholastic.com/teachers/article/math-fluency.) With Common Core, the standards are very clear about fluency requirements for various basic facts and operations. And, since teachers have fewer topics to "cover" in each grade, extra time can be devoted to activities and games to develop fluency for the grade-appropriate topics. This will result in more students having fluency with the same basic skills, so the class can more easily tackle problems requiring higher-order thinking skills.
In another post, I'll talk about the important role of the new Standards for Mathematical Practice.
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