Teaching Mathematics in Grades 6 − 12: Developing Research-Based Instructional Practices will provide prospective teachers mathematics in grades 6 − 12 with guidance on what to cover in secondary mathematics courses and how to cover those topics. The text is based on the premise that engaging prospective teachers in the study of students’ mathematical thinking is a powerful and under-utilized strategy for secondary teacher education. The six chapters in Part I of the text provides an induction to the field of mathematics education. The five chapters in Part II describe how students think about mathematical concepts. Borrowing an organizational strategy from the Common Core State Standards, standards documents of the National Council of Teachers of Mathematics, and standards documents of many states, each of chapters in this part is devoted to a specific mathematics content strand.

Developing Students’ Thinking in Advanced Placement Courses

Developing Students’ Thinking in Advanced Placement Courses

Developing students’ thinking in advanced placement courses

Advanced Placement (AP*) courses in statistics and calculus have become increasingly poplar in high schools. Table 11.1 gives a snapshot of the amount of growth that AP Statistics and AP Calculus have experienced since 1997 (the first year the AP Statistics examination was offered). AP Statistics is designed to be the equivalent of an introductory, non-calculus-based semester of college statistics. AP Calculus AB addresses roughly the equivalent of first-semester college calculus, and AP Calculus BC addresses roughly the first two semesters of college calculus. AP courses have become very attractive to students, parents, teachers, and school administrators because students can gain college credit before leaving high school if they earn acceptable ...

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