High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice, Robert Q. Berry III, Basil M. Conway IV, Brian R. Lawler, John W. Staley
Take a deep dive into the five practices for faciliting productive mathematical discussons
Enhance your fluency in the five practices—anticipating, monitoring, selecting, sequencing, and connecting—to bring powerful discussions of mathematical concepts to life in your high school classroom. This book unpacks the five practices for deeper understanding and empowers you to use each practice effectively.
· Video excerpts vividly illustrate the five practices in action in real high school classrooms
· Key questions help you set learning goals, identify high-level tasks, and jumpstart discussion
· Prompts guide you to be prepared for and overcome common challenges
Includes planning templates, sample lesson plans, completed monitoring tools, and mathematical tasks.
Автор: Carmen Batanero, Manfred Borovcnik Название: Statistics and Probability in High School ISBN: 9463006230 ISBN-13(EAN): 9789463006231 Издательство: Brill Рейтинг: Цена: 119540.00 T Наличие на складе: Невозможна поставка. Описание: Statistics and probability are fascinating fields, tightly interwoven with the context of the problems which have to be modelled. The authors demonstrate how investigations and experiments provide promising teaching strategies to help high-school students acquire statistical and probabilistic literacy. In the first chapter the authors put into practice the following educational principles, reflecting their views of how these subjects should be taught: a focus on the most relevant ideas and postpone extensions to later stages; illustrating the complementary/dual nature of statistical and probabilistic reasoning; utilising the potential of technology and show its limits; and reflecting on the different levels of formalisation to meet the wide variety of students’ previous knowledge, abilities, and learning types. The remaining chapters deal with exploratory data analysis, modelling information by probabilities, exploring and modelling association, and with sampling and inference. Throughout the book, a modelling view of the concepts guides the presentation. In each chapter, the development of a cluster of fundamental ideas is centred around a statistical study or a real-world problem that leads to statistical questions requiring data in order to be answered. The concepts developed are designed to lead to meaningful solutions rather than remain abstract entities. For each cluster of ideas, the authors review the relevant research on misconceptions and synthesise the results of research in order to support teaching of statistics and probability in high school. What makes this book unique is its rich source of worked-through tasks and its focus on the interrelations between teaching and empirical research on understanding statistics and probability.
Автор: Carmen Batanero, Manfred Borovcnik Название: Statistics and Probability in High School ISBN: 9463006222 ISBN-13(EAN): 9789463006224 Издательство: Brill Рейтинг: Цена: 51800.00 T Наличие на складе: Невозможна поставка. Описание: Statistics and probability are fascinating fields, tightly interwoven with the context of the problems which have to be modelled. The authors demonstrate how investigations and experiments provide promising teaching strategies to help high-school students acquire statistical and probabilistic literacy. In the first chapter the authors put into practice the following educational principles, reflecting their views of how these subjects should be taught: a focus on the most relevant ideas and postpone extensions to later stages; illustrating the complementary/dual nature of statistical and probabilistic reasoning; utilising the potential of technology and show its limits; and reflecting on the different levels of formalisation to meet the wide variety of students’ previous knowledge, abilities, and learning types. The remaining chapters deal with exploratory data analysis, modelling information by probabilities, exploring and modelling association, and with sampling and inference. Throughout the book, a modelling view of the concepts guides the presentation. In each chapter, the development of a cluster of fundamental ideas is centred around a statistical study or a real-world problem that leads to statistical questions requiring data in order to be answered. The concepts developed are designed to lead to meaningful solutions rather than remain abstract entities. For each cluster of ideas, the authors review the relevant research on misconceptions and synthesise the results of research in order to support teaching of statistics and probability in high school. What makes this book unique is its rich source of worked-through tasks and its focus on the interrelations between teaching and empirical research on understanding statistics and probability.
Автор: Michael D. Steele, Craig Huhn Название: A Quiet Revolution: One District`s Story of Radical Curricular Change in High School Mathematics ISBN: 1641131810 ISBN-13(EAN): 9781641131810 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 50820.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Over the past thirty years, Holt High School in central Michigan has engaged in a quiet revolution that has transformed mathematics teaching and learning in the district. From its roots as a rural high school housed in a single building in the 1980s, the high school mathematics staff has grown an innovative, meaningful high school mathematics curriculum that sees nearly every student in the district completing the equivalent of Precalculus. Tracking was dropped in favor of an evolving suite of supports designed to promote student success in unifying, rather than segregating, ways. Mathematics classrooms in Holt are discourse-rich environments where teachers and students explore meaningful uses for mathematics as they reason and problem solve together. This transformation took place and persists amidst changing professional partnerships, shifting district demographics, increasing accountability measures at the state and national level, and turnover in teaching staff and district leadership.In this book, we explore the case of Holt High School though an exploration of how the mathematics curriculum has shifted over the past thirty years, and the conditions and supports that have been put in place in the district to make this work fruitful and sustainable. The story includes successes, failures, celebrations and challenges as we chronicle Holt’s high school mathematics evolution. Guiding questions, protocols, and reflective activities are provided for teachers and district leaders to begin the challenging conversations in their own district that lead to meaningful change.
When “rules” seem to change from year to year, mathematics can seem like a disconnected mystery for students. Clear up the confusion with a Mathematics Whole-School Agreement! Expanded from the highly popular “Rules that Expire” series of NCTM articles, this essential guide leads educators through the collaborative step-by-step process of establishing a coherent and consistent learner-centered and equitable approach to mathematics instruction. You’ll learn to avoid “rules that expire”—tricks that may seem to help students in one grade but hurt in the long run. Features include
· Abundant grade-specific examples
· Effective working plans for sustainability
· Barrier-busting tips, to-dos, and try-it-outs
· PLC prompts and discussion points
Автор: Michael D. Steele, Craig Huhn Название: A Quiet Revolution: One District`s Story of Radical Curricular Change in High School Mathematics ISBN: 1641131829 ISBN-13(EAN): 9781641131827 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 94250.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Over the past thirty years, Holt High School in central Michigan has engaged in a quiet revolution that has transformed mathematics teaching and learning in the district. From its roots as a rural high school housed in a single building in the 1980s, the high school mathematics staff has grown an innovative, meaningful high school mathematics curriculum that sees nearly every student in the district completing the equivalent of Precalculus. Tracking was dropped in favor of an evolving suite of supports designed to promote student success in unifying, rather than segregating, ways. Mathematics classrooms in Holt are discourse-rich environments where teachers and students explore meaningful uses for mathematics as they reason and problem solve together. This transformation took place and persists amidst changing professional partnerships, shifting district demographics, increasing accountability measures at the state and national level, and turnover in teaching staff and district leadership.In this book, we explore the case of Holt High School though an exploration of how the mathematics curriculum has shifted over the past thirty years, and the conditions and supports that have been put in place in the district to make this work fruitful and sustainable. The story includes successes, failures, celebrations and challenges as we chronicle Holt’s high school mathematics evolution. Guiding questions, protocols, and reflective activities are provided for teachers and district leaders to begin the challenging conversations in their own district that lead to meaningful change.
Автор: Aad Goddijn, Martin Kindt, Wolfgang Reuter Название: Geometry with Applications and Proofs: Advanced Geometry for Senior High School, Student Text and Background Information ISBN: 9462098581 ISBN-13(EAN): 9789462098589 Издательство: Brill Рейтинг: Цена: 66410.00 T Наличие на складе: Невозможна поставка. Описание: This book shows how geometry can be learned by starting with real world problems which are solved by intuition, common sense reasoning and experiments. Gradually the more formal demands of mathematical proofs get their proper place and make it possible to explore new applications. This process helps students to feel the need for precise definitions and procedures, to contribute to the construction of an axiomatic system, and to experience the power of systematic reasoning.The course is designed for students in a Nature & Technology strand which prepares for studying the sciences or technology at university level. Its goal was basically to reintroduce ‘proof’ in a meaningful way in the late 1990s Dutch secondary education curriculum. Following the educational view of the Freudenthal Institute this is not done by stating Euclid’s axioms on page one, but rather a starting point is chosen in students’ intuitions and tentative solutions of problems that are experienced as real and relevant.The photograph on the cover shows students exploring one of the problems from the midpart of the course in the computerlab.
Автор: Almarode John T., Fisher Douglas, Assof Joseph Название: Teaching Mathematics in the Visible Learning Classroom, High School ISBN: 1544333145 ISBN-13(EAN): 9781544333144 Издательство: Sage Publications Рейтинг: Цена: 32730.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: How can teachers generate those lightbulb "aha" moments of understanding for their students? This book helps to answer that question by showing Visible Learning strategies in action in high-impact mathematics classrooms.
Название: Performance Tasks and Rubrics for High School Mathematics ISBN: 1138380709 ISBN-13(EAN): 9781138380707 Издательство: Taylor&Francis Рейтинг: Цена: 117390.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: In this bestselling book, educational experts Charlotte Danielson and Elizabeth Marquez explain how to construct and apply performance tasks to gauge students` deeper understanding of mathematical concepts at the high school level.
Автор: Danielson, Charlotte Marquez, Elizabeth Название: Performance tasks and rubrics for high school mathematics ISBN: 1138906999 ISBN-13(EAN): 9781138906990 Издательство: Taylor&Francis Рейтинг: Цена: 30610.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: In this bestselling book, educational experts Charlotte Danielson and Elizabeth Marquez explain how to construct and apply performance tasks to gauge students` deeper understanding of mathematical concepts at the high school level.
Problem-solving in mathematics is the application of theory and concepts to a given situation. Mastering this skill distinguishes the more successful students from their peers.
But to excel in mathematics, practice is key.
Students must practice solving problems; many problems. The problems must be varied, with different parameters, knowns, unknowns and constraints, for students to flexibly exercise their foundational knowledge and build confidence in applying mathematical techniques.
While there are ample resources to find such problems, and the final answers to these problems, many students report difficulty in finding enough illustrative problems, of broad variability, with step-by-step solutions, to guide their thinking.
Without a wide array of worked solutions, a student's ability to self-teach problem-solving is limited. The purpose of this book is to put the considerable power of self-study back into students' hands.
In addition to the basic mathematical concepts and principles, this book provides, in a structured form, over 500 worked examples that students can use, follow and practice upon to improve their mastery of mathematics.
Aloysius Aseervatham is a teacher with nearly 50 years' experience in delivering knowledge and skills to high school mathematics students in Australia, Asia, Europe and Africa.
Название: Preparing for High School Maths CAPS ISBN: 0620567856 ISBN-13(EAN): 9780620567855 Издательство: Cambridge Academ Рейтинг: Цена: 17430.00 T Наличие на складе: Невозможна поставка. Описание: Collects work from the most prominent scholars in the Jewish Language Studies field to generate distinctively new historical, cultural, theoretical, and scientific approaches to this topic of ongoing interest. The chapters consider the cultural politics of the myths, fantasies, and anxieties of linguistic multiplicity in the history, cultures, folkways, and politics of global Jewry.
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