Connecting Mathematical Ideas

Connecting Mathematical Ideas
Author: Jo Boaler
Publisher: Heinemann Educational Books
Total Pages: 146
Release: 2005
Genre: Education
ISBN:

In math, like any subject, real learning takes place when students can connect what they already know to new ideas. In "Connecting Mathematical Idea"s, Jo Boaler and Cathy Humphreys offer a comprehensive way to improve your ability to help adolescents build connections between different mathematical ideas and representations and between domains like algebra and geometry. "Connecting Mathematical Ideas" contains two-CDs worth of video case studies from Humphreys' own middle-school classroom that show her encouraging students to bridge complex mathematical concepts with their prior knowledge. Replete with math talk and coverage of topics like representation, reasonableness, and proof, the CDs also include complete transcripts and study questions that stimulate professional learning. Meanwhile, the accompanying book guides you through the CDs with in-depth commentary from Boaler and Humphreys that breaks down and analyzes the lesson footage from both a theoretical and a practical standpoint. In addition to addressing the key content areas of middle school mathematics, Boaler and Humphreys pose and help you address a broad range of frequently asked pedagogical questions, such as: How can I organize productive class discussions? How do I ask questions that stimulate discussion and thought among my students? What's the most effective way to encourage reticent class members to speak up? What role should student errors play in my teaching? Go inside real classrooms to solve your toughest teaching questions. Use the case studies and the wealth of professional support within "Connecting Mathematical Ideas" and find new ways to help your students connect with math.

Implementing Standards-based Mathematics Instruction

Implementing Standards-based Mathematics Instruction
Author: Mary Kay Stein
Publisher: Teachers College Press
Total Pages: 174
Release: 2000
Genre: Education
ISBN: 9780807739075

Presents prevalent cases of maths instruction drawn from research of classroom lessons. The "Mathematical Tasks Framework", developed by the authors, offers teachers the means to evaluate instructional decisions, choice of materials and learning outcomes.

Mathematics Teacher Noticing

Mathematics Teacher Noticing
Author: Miriam Sherin
Publisher: Routledge
Total Pages: 280
Release: 2011-02
Genre: Education
ISBN: 1136838260

This is the first book to examine research on mathematics teacher noticing---how teachers pay attention to and make sense of what happens in the complexity of instructional situations.

Principles to Actions

Principles to Actions
Author: National Council of Teachers of Mathematics
Publisher: National Council of Teachers of Mathematics, Incorporated
Total Pages: 139
Release: 2014-02
Genre: Curriculum planning
ISBN: 9780873537742

This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.

Task Design In Mathematics Education

Task Design In Mathematics Education
Author: Anne Watson
Publisher: Springer
Total Pages: 339
Release: 2015-10-26
Genre: Education
ISBN: 331909629X

*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* This open access book is the product of ICMI Study 22 Task Design in Mathematics Education. The study offers a state-of-the-art summary of relevant research and goes beyond that to develop new insights and new areas of knowledge and study about task design. The authors represent a wide range of countries and cultures and are leading researchers, teachers and designers. In particular, the authors develop explicit understandings of the opportunities and difficulties involved in designing and implementing tasks and of the interfaces between the teaching, researching and designing roles – recognising that these might be undertaken by the same person or by completely separate teams. Tasks generate the activity through which learners meet mathematical concepts, ideas, strategies and learn to use and develop mathematical thinking and modes of enquiry. Teaching includes the selection, modification, design, sequencing, installation, observation and evaluation of tasks. The book illustrates how task design is core to effective teaching, whether the task is a complex, extended, investigation or a small part of a lesson; whether it is part of a curriculum system, such as a textbook, or promotes free standing activity; whether the task comes from published source or is devised by the teacher or the student.

Standards for Preparing Teachers of Mathematics

Standards for Preparing Teachers of Mathematics
Author: Nadine Bezuk
Publisher:
Total Pages: 200
Release: 2020
Genre: Mathematics
ISBN: 9781641139960

AMTE, in the Standards for Preparing Teachers of Mathematics, puts forward a national vision of initial preparation for all Pre-K-12 teachers who teach mathematics. SPTM pertains not only to middle and high school mathematics teachers who may teach mathematics exclusively but also to elementary school teachers teaching all disciplines, special education teachers, teachers of emergent multilingual students, and all other teaching professionals and administrators who have responsibility for students' mathematical learning. SPTM has broad implications for teacher preparation programs, in which stakeholders include faculty and administrators in both education and mathematics at the university level; teachers, principals, and district leaders in the schools with which preparation programs partner; and the communities in which preparation programs and their school partners are situated. SPTM is intended as a national guide that articulates a vision for mathematics teacher preparation and supports the continuous improvement of teacher preparation programs. Such continuous improvement includes changes to preparation program courses and structures, partnerships involving schools and universities and their leaders, the ongoing accreditation of such programs regionally and nationally, and the shaping of state and national mathematics teacher preparation policy. SPTM is also designed to inform accreditation processes for mathematics teacher preparation programs, to influence policies related to preparation of teachers of mathematics, and to promote national dialogue around preparing teachers of mathematics. The vision articulated in SPTM is aspirational in that it describes a set of high expectations for developing a well-prepared beginning mathematics teacher who can support meaningful student learning. The vision is research-based and establishes a set of goals for the continued development and refinement of a mathematics teacher preparation program and a research agenda for the study of the effects of such a program. SPTM contains detailed depictions of what a well-prepared beginning teacher knows and is able to do related to content, pedagogy, and disposition, and what a strong preparation program entails with respect to learning experiences, assessments, and partnerships. Stakeholders in mathematics teacher preparation will find messages related to their roles. Standards for Preparing Teachers of Mathematics includes standards and indicators for teacher candidates and for the design of teacher preparation programs. SPTM outlines assessment practices related to overall quality, program effectiveness, and candidate performance. SPTM describes specific focal practices by grade band and provides guidance to stakeholders regarding processes for productive change.

Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8

Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8
Author: Jennifer M. Bay-Williams
Publisher: Corwin
Total Pages: 265
Release: 2021-03-02
Genre: Education
ISBN: 1071818430

Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: "Seven Significant Strategies" to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.

Handbook of International Research in Mathematics Education

Handbook of International Research in Mathematics Education
Author: Lyn D. English
Publisher: Routledge
Total Pages: 942
Release: 2010-04-02
Genre: Education
ISBN: 1135192766

This book brings together mathematics education research that makes a difference in both theory and practice - research that anticipates problems and needed knowledge before they become impediments to progress.