Intermediate Senior Mathematics

Multiply math mastery and interest with these inspired teaching tactics! Invigorate instruction and engage students with this treasure trove of "Great Ideas" compiled by two of the greatest minds in mathematics. From commonly taught topics in algebra, geometry, trigonometry and statistics, to more advanced explorations into indirect proofs, binomial theorem, irrationality, relativity and more, this guide outlines actual equations and techniques that will inspire veteran and new educators alike. This updated second edition offers more proven practices for bringing math concepts to life in the classroom, including 114 innovative strategies organized by subject area User-friendly content identifying "objective," "materials," and "procedure" for each technique A range of teaching models, including hands-on and computer-based methods Specific and straightforward examples with step-by-step lessons Written by two distinguished leaders in the field-mathematician, author, professor, university dean and popular commentator Alfred S. Posamentier, along with mathematical pioneer and Nobel Prize recipient Herbert A. Hauptman-this guide brings a refreshing perspective to secondary math instruction to spark renewed interest and success among students and teachers.

This mathematics book is written for teachers, both prospective and practicing. It is suitable for those less comfortable with mathematics, as well as those who already have a stronger mathematical background. Research shows that knowledge of traditional, formula-based approaches is not enough for effective conceptual classroom teaching.--Publisher's description.

This clear, interactive, learner-centered text and resource will help pre-service and in-service secondary mathematics teachers gain the deep mathematical insight they need to teach their students in a multifaceted way that is interesting, developmental, connected, deep, understandable, and often, surprising and entertaining.

Embracing the profession of teacher of mathematics -- Before the first day -- The math teacher's tools of the trade -- Becoming a valued member of the staff -- Organizing for success -- Planning a great first day -- Managing your math classroom -- Building a positive environment for learning math -- Interacting with your students -- Designing effective math lessons and activities -- Providing effective math instruction -- Evaluating the progress of your students -- Managing inappropriate behavior -- Working with parents and guardians -- Keeping the flame burning.

Task-based learning is an instructional method in which students complete coherently-structured activities in order to meet objectives set by the educator. This thesis illustrates learning communities as the ideal environment for a task-based learning classroom. It discusses the teacher’s role in a task-based classroom. This paper also describes three examples of tasks performed in my high school geometry classroom along with my observations of students’ interactions and discussions.--Page [4] of cover.

For too many students, mathematics consists of facts in a vacuum, to be memorized because the instructor says so, and to be forgotten when the course of study is completed. In this all-too-common scenario, young learners often miss the chance to develop skills--specifically, reasoning skills--that can serve them for a lifetime. The elegant pages of Teaching Mathematical Reasoning in Secondary School Classrooms propose a more positive solution by presenting a reasoning- and discussion-based approach to teaching mathematics, emphasizing the connections between ideas, or why math works. The teachers whose work forms the basis of the book create a powerful record of methods, interactions, and decisions (including dealing with challenges and impasses) involving this elusive topic. And because this approach shifts the locus of authority from the instructor to mathematics itself, students gain a system of knowledge that they can apply not only to discrete tasks relating to numbers, but also to the larger world of people and the humanities. A sampling of the topics covered: Whole-class discussion methods for teaching mathematics reasoning. Learning mathematical reasoning through tasks. Teaching mathematics using the five strands. Classroom strategies for promoting mathematical reasoning. Maximizing student contributions in the classroom. Overcoming student resistance to mathematical conversations. Teaching Mathematical Reasoning in Secondary School Classrooms makes a wealth of cutting-edge strategies available to mathematics teachers and teacher educators. This book is an invaluable resource for researchers in mathematics and curriculum reform and of great interest to teacher educators and teachers.

Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students' mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors-but which are little appreciated in the UK at present. This study is aimed at anyone who would like to think more deeply about the discipline of 'elementary mathematics', in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important.

Towards a definition of teaching through problem-solving -- What do we think about, when we think about mathematics? -- Ways of thinking about and representing problems -- The mutually complementary nature of procedural and conceptual -- Full instructional guidance and deliberate practice -- Mathematics classrooms are spaces for talking, reasoning, thinking, and wondering -- Mathematics can be playful -- Coda: QED?.

This second edition is a must-read for today's mathematics teachers offering research-based strategies and best practices that are critical and highly effective in mathematics instruction. This invaluable resource provides practical suggestions, resources, and templates to support the areas of classroom management, instructional planning, content and practice standard implementation, assessment, and differentiation, as well as methods to build students' conceptual understanding. It also guides teachers in using the Professional Learning Community model effectively in order to support professional growth and student achievement. With a focus on student thinking and learning, this book is an essential guide for all educators.

This book combines methods of teaching mathematics, including all aspects and responsibilities of the job, with a collection of enrichment units appropriate for the entire secondary school curriculum spectrum to give teachers alternatives for making professional judgments about their teaching performance–and ensuring effective learning.

This is a comprehensive introduction to calculus that will help you to progress to an advanced level. It offers a carefully graded series of lessons that introduce the basic concepts of differentiation and integration, and helps you to achieve understanding through clearly worked examples, diagrams and exercises.

"This practical and thought-provoking book offers time-saving strategies essential for every teacher in every discipline. The numerous self-assessments demonstrate that the best formative assessments are not merely given "to" students but are an interactive learning experience involving students, teachers, and professional colleagues." --Douglas B. Reeves, Founder