The Stair Step Approach In Mathematics
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The Stair-Step Approach in Mathematics
This book is intended as a teacher’s manual and as an independent-study handbook for students and mathematical competitors. Based on a traditional teaching philosophy and a non-traditional writing approach (the stair-step method), this book consists of new problems with solutions created by the authors. The main idea of this approach is to start from relatively easy problems and “step-by-step” increase the level of difficulty toward effectively maximizing students' learning potential. In addition to providing solutions, a separate table of answers is also given at the end of the book. A broad view of mathematics is covered, well beyond the typical elementary level, by providing more in depth treatment of Geometry and Trigonometry, Number Theory, Algebra, Calculus, and Combinatorics.
Algebraic Inequalities
This unique collection of new and classical problems provides full coverage of algebraic inequalities. Many of the exercises are presented with detailed author-prepared-solutions, developing creativity and an arsenal of new approaches for solving mathematical problems. Algebraic Inequalities can be considered a continuation of the book Geometric Inequalities: Methods of Proving by the authors. This book can serve teachers, high-school students, and mathematical competitors. It may also be used as supplemental reading, providing readers with new and classical methods for proving algebraic inequalities.
Diversity, Equity, and Inclusion for Mathematics and Science Education: Cases and Perspectives
Diversity, equity, and inclusion (DEI) are critical pillars for transforming mathematics and science education. As classrooms diversify, the need to address systemic barriers and create inclusive learning environments becomes more urgent. Cases on DEI in STEM education highlight the real-world challenges and strategies educators face in promoting equitable access to learning opportunities, dismantling biases, and empowering students from historically marginalized communities. Further exploration may reveal powerful teaching tools and catalyze reflective practice and institutional change, encouraging educators to critically examine their roles in shaping a more inclusive future in math and science. Cases on Diversity, Equity, and Inclusion for Mathematics and Science Education explores key issues and concepts related to diversity, equity, and inclusion in mathematics and science classrooms. It offers solutions and successful strategies for teaching and learning in mathematics and science. This book covers topics such as inclusive classrooms, K-12 education, pre-service teaching, and is a useful resource for educators, sociologists, academicians, researchers, and scientists.