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.
Introduction to the Field of Mathematics Education
The past few decades have seen incredible growth in the study of teaching and learning mathematics. K–12 teachers, university professors, and other educators have produced standards documents, research reports, and curriculum frameworks with the potential to help improve students’ learning. All of this activity makes it an exciting time to enter the profession of mathematics teaching. However, it can also be overwhelming to try to digest and reflect on everything the field has to offer. In fact, one is never really done learning about teaching mathematics. The best teachers are always learning ways to improve their practices by talking with colleagues, reading research, reading teachers’ journals, carefully assessing the impact of ...