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As we enter the 21st century, there is an urgent need for new approaches to mathematics education emphasizing its relevance in young learners' futures. Modeling Students' Mathematical Modeling Competencies explores the vital trend toward using real-world problems as a basis for teaching mathematics skills, competencies, and applications. Blending theoretical constructs and practical considerations, the book presents papers from the latest conference of the ICTMA, beginning with the basics (Why are models necessary? Where can we find them?) and moving through intricate concepts of how students perceive math, how instructors teach and how both can become better learners. Dispatches as varied as classroom case studies, analyses of math in engineering work, and an in-depth review of modeling-based curricula in the Netherlands illustrate modeling activities on the job, methods of overcoming math resistance, and the movement toward replicable models and lifelong engagement. A sampling of topics covered: How students recognize the usefulness of mathematics Creating the modeling-oriented classroom Assessing and evaluating students' modeling capabilities The relationship between modeling and problem-solving Instructor methods for developing their own models of modeling New technologies for modeling in the classroom Modeling Students' Mathematical Modeling Competencies offers welcome clarity and focus to the international research and professional community in mathematics, science, and engineering education, as well as those involved in the sciences of teaching and learning these subjects.
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This book is an attempt to prove that Excel is a way to mathematics and that mathematics is a way to Excel. This book is not a comprehensive presentation of Excel. Our starting point is a set of mathematical topics and we focus on those features of Excel which are relevant for these topics. Our intention is that students on secondary school and college level will be able to work with this book even if they have little or no experience of Excel. Every chapter of the book is organized in examples and excercises. We have provided many examples with very detailed instructions on how to use Excel. The reader who is already an experienced Excel user, or has become one after a few chapters, might be bored of that. Such a reader is encouraged to find his or her own ways to solve the problems which are formulated in the examples.
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