Teaching Mathematics in Grades 6 - 12 by Randall E. Groth explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows preservice mathematics teachers the value of being a "researcher-constantly experimenting with methods for developing students' mathematical thinking-and connecting this research to practices that enhance students' understanding of the material. Ultimately, pre-service teachers will gain a deeper understanding of the types of mathematical knowledge students bring to school, and how students' thinking may develop in response to different teaching strategies.
Randall E. Groth is an Associate Professor at Salisbury University. He brings to the book the experience of a former secondary school mathematics teacher, a current supervisor of student teachers, and a university perspective as secondary-level mathematics educator. As a former secondary teacher, Groth taught all levels of mathematics from remedial pre-algebra, algebra, and geometry to advanced placement calculus. As a supervisor of student teachers, he has seen firsthand the difficulties prospective teachers have as they enter the profession. As a university faculty member, he has taught mathematics education courses for prospective teachers for the past ten years. Groth has also published over 30 articles in peer-reviewed venues for mathematics education and received a distinguished faculty award as recognition of his strengths in teaching, scholarship, and service.
Preface Acknowledgments Part I. Introduction to Teaching and Learning Mathematics 1. Introduction to the Field of Mathematics Education 2. Key Psychological Ideas and Research Findings in Mathematics Education 3. Planning Mathematics Lessons 4. Mathematics Curriculum Models and Techniques 5. Implementing and Assessing Mathematics Lessons and Curricula 6. Becoming a Professional Mathematics Teacher Part II. Developing and Teaching Mathematical Thinking 7. Developing Students' Thinking in Number and Operations 8. Developing Students' Algebraic Thinking 9. Developing Students' Statistical and Probabilistic Thinking 10. Developing Students' Geometric Thinking 11. Developing Students' Thinking in Advanced Placement Courses Appendices References Glossary Index About the Author