Author:
Publisher:
ISBN: 9780873535021
Category : Algebra
Languages : en
Pages : 86
Book Description
Navigating Through Algebra in Grades 9-12
Developing Essential Understanding of Functions for Teaching Mathematics in Grades 9-12
Author: Thomas J. Cooney
Publisher:
ISBN: 9780873536233
Category : Curriculum enrichment
Languages : en
Pages : 109
Book Description
Are sequences functions? Why can’t the popular “vertical line test” be applied in some cases to determine if a relation is a function? How does the idea of rate of change connect with simpler ideas about proportionality as well as more advanced topics in calculus? How much do you know… and how much do you need to know? Helping your high school students develop a robust understanding of functions requires that you understand mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about functions. It is organised around five big ideas, supported by multiple smaller, interconnected ideas-essential understandings. Taking you beyond a simple introduction to functions, this book will broaden and deepen your mathematical understanding of one of the most challenging topics for students and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls and dispel misconceptions. You will also learn to develop appropriate tasks, techniques and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.
Publisher:
ISBN: 9780873536233
Category : Curriculum enrichment
Languages : en
Pages : 109
Book Description
Are sequences functions? Why can’t the popular “vertical line test” be applied in some cases to determine if a relation is a function? How does the idea of rate of change connect with simpler ideas about proportionality as well as more advanced topics in calculus? How much do you know… and how much do you need to know? Helping your high school students develop a robust understanding of functions requires that you understand mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about functions. It is organised around five big ideas, supported by multiple smaller, interconnected ideas-essential understandings. Taking you beyond a simple introduction to functions, this book will broaden and deepen your mathematical understanding of one of the most challenging topics for students and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls and dispel misconceptions. You will also learn to develop appropriate tasks, techniques and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.
Navigating Through Geometry in Grades 9-12
Author: Roger Day
Publisher: National Council of Teachers of
ISBN: 9780873535144
Category : Geometry
Languages : en
Pages : 152
Book Description
Approaching geometry through a transformational lens, this book concentrates on topics such as the use of transformations, coordinates and matrices and congruence and similarity. Activities that take students through geometric tasks require some use of technology, including interactive geometry software and a calculator or a computer with software that produces geometric images and graphs. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students and additional readings for teachers.
Publisher: National Council of Teachers of
ISBN: 9780873535144
Category : Geometry
Languages : en
Pages : 152
Book Description
Approaching geometry through a transformational lens, this book concentrates on topics such as the use of transformations, coordinates and matrices and congruence and similarity. Activities that take students through geometric tasks require some use of technology, including interactive geometry software and a calculator or a computer with software that produces geometric images and graphs. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students and additional readings for teachers.
Building Thinking Classrooms in Mathematics, Grades K-12
Author: Peter Liljedahl
Publisher: Corwin Press
ISBN: 1544374844
Category : Education
Languages : en
Pages : 454
Book Description
A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.
Publisher: Corwin Press
ISBN: 1544374844
Category : Education
Languages : en
Pages : 454
Book Description
A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.
Taking Action
Author: Melissa Boston
Publisher:
ISBN: 9780873539760
Category : Mathematics
Languages : en
Pages : 0
Book Description
Are you ready to take your teaching to the next level? Taking Action: Implementing Effective Mathematics Teaching Practices in Grades 6-8 offers a coherent set of professional learning experiences designed to foster teachers' understanding of the effective mathematics teaching practices and their ability to apply those practices in their own classrooms.
Publisher:
ISBN: 9780873539760
Category : Mathematics
Languages : en
Pages : 0
Book Description
Are you ready to take your teaching to the next level? Taking Action: Implementing Effective Mathematics Teaching Practices in Grades 6-8 offers a coherent set of professional learning experiences designed to foster teachers' understanding of the effective mathematics teaching practices and their ability to apply those practices in their own classrooms.
Navigating Through Mathematical Connections in Grades 9-12
Author: Maurice Joseph Burke
Publisher: National Council of Teachers of
ISBN: 9780873535762
Category : Education
Languages : en
Pages : 178
Book Description
Making connections becomes increasingly important as students proceed through middle school and high school. This book shows ways of embedding connective processes in instruction in grades 9-12. Problems invite mathematical modelling, unify diverse content, call for different representations and encourage students to look back at their work to find connections. Activities feature such tasks as determining a dosage schedule for a prescription drug, making ""transit graphs"" to maximise travel through a canal and deciding when to accept a ""double dare"" in a simple game. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students and additional readings for teachers.
Publisher: National Council of Teachers of
ISBN: 9780873535762
Category : Education
Languages : en
Pages : 178
Book Description
Making connections becomes increasingly important as students proceed through middle school and high school. This book shows ways of embedding connective processes in instruction in grades 9-12. Problems invite mathematical modelling, unify diverse content, call for different representations and encourage students to look back at their work to find connections. Activities feature such tasks as determining a dosage schedule for a prescription drug, making ""transit graphs"" to maximise travel through a canal and deciding when to accept a ""double dare"" in a simple game. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students and additional readings for teachers.
Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 9-12
Author: Nathalie Sinclair
Publisher: National Council of Teachers of English
ISBN: 9780873536929
Category : Education, Secondary
Languages : en
Pages : 95
Book Description
Why does it matter whether we state definitions carefully when we all know what particular geometric figures look like? What does it mean to say that a reflection is a transformation—a function? How does the study of transformations and matrices in high school connect with later work with vector spaces in linear algebra? How much do you know… and how much do you need to know? Helping your students develop a robust understanding of geometry requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about geometry. It is organised around four big ideas, supported by multiple smaller, interconnected ideas—essential understandings. Taking you beyond a simple introduction to geometry, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students—and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently. Move beyond the mathematics you expect your students to learn. Students who fail to get a solid grounding in pivotal concepts struggle in subsequent work in mathematics and related disciplines. By bringing a deeper understanding to your teaching, you can help students who don’t get it the first time by presenting the mathematics in multiple ways. The Essential Understanding Series addresses topics in school mathematics that are critical to the mathematical development of students but are often difficult to teach. Each book in the series gives an overview of the topic, highlights the differences between what teachers and students need to know, examines the big ideas and related essential understandings, reconsiders the ideas presented in light of connections with other mathematical ideas, and includes questions for readers’ reflection.
Publisher: National Council of Teachers of English
ISBN: 9780873536929
Category : Education, Secondary
Languages : en
Pages : 95
Book Description
Why does it matter whether we state definitions carefully when we all know what particular geometric figures look like? What does it mean to say that a reflection is a transformation—a function? How does the study of transformations and matrices in high school connect with later work with vector spaces in linear algebra? How much do you know… and how much do you need to know? Helping your students develop a robust understanding of geometry requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about geometry. It is organised around four big ideas, supported by multiple smaller, interconnected ideas—essential understandings. Taking you beyond a simple introduction to geometry, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students—and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently. Move beyond the mathematics you expect your students to learn. Students who fail to get a solid grounding in pivotal concepts struggle in subsequent work in mathematics and related disciplines. By bringing a deeper understanding to your teaching, you can help students who don’t get it the first time by presenting the mathematics in multiple ways. The Essential Understanding Series addresses topics in school mathematics that are critical to the mathematical development of students but are often difficult to teach. Each book in the series gives an overview of the topic, highlights the differences between what teachers and students need to know, examines the big ideas and related essential understandings, reconsiders the ideas presented in light of connections with other mathematical ideas, and includes questions for readers’ reflection.
Navigating Through Data Analysis in Grades 9-12
Author: Gail Burrill
Publisher: National Council of Teachers of English
ISBN: 9780873535243
Category : Mathematical statistics
Languages : en
Pages : 136
Book Description
The activities in this book introduce students to simple random sampling, sampling techniques and simulation as a tool for analysing both categorical and numerical data. Scenarios probe topics of interest to high school students, including possible workplace discrimination against women and links between vegetarian diets and blood cholesterol levels. As students work, they learn what makes a well-designed study; how to distinguish among observational studies, surveys and experiments; and when statistical inference is permissible. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students and additional readings for teachers.
Publisher: National Council of Teachers of English
ISBN: 9780873535243
Category : Mathematical statistics
Languages : en
Pages : 136
Book Description
The activities in this book introduce students to simple random sampling, sampling techniques and simulation as a tool for analysing both categorical and numerical data. Scenarios probe topics of interest to high school students, including possible workplace discrimination against women and links between vegetarian diets and blood cholesterol levels. As students work, they learn what makes a well-designed study; how to distinguish among observational studies, surveys and experiments; and when statistical inference is permissible. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students and additional readings for teachers.
Envisionaga Integrated Mathematics I 2019 Student Companion Grade 9/12
Author: Prentice HALL
Publisher: Prentice Hall
ISBN: 9781418317591
Category :
Languages : en
Pages :
Book Description
Publisher: Prentice Hall
ISBN: 9781418317591
Category :
Languages : en
Pages :
Book Description
High School Math Cme Integrated Math III Student Edition Grade 9/12
Author:
Publisher: Prentice Hall
ISBN: 9781256694762
Category : Education
Languages : en
Pages :
Book Description
Integrated CME Project ©2013 offers you a Common Core curriculum built specifically upon the Integrated Pathway for the Common Core State Standards. The program meets the dual goals of mathematical rigor and accessibility for all students through innovative, research-based instruction and a curriculum that is designed around problem-based, student-centered tasks. --from publisher description
Publisher: Prentice Hall
ISBN: 9781256694762
Category : Education
Languages : en
Pages :
Book Description
Integrated CME Project ©2013 offers you a Common Core curriculum built specifically upon the Integrated Pathway for the Common Core State Standards. The program meets the dual goals of mathematical rigor and accessibility for all students through innovative, research-based instruction and a curriculum that is designed around problem-based, student-centered tasks. --from publisher description