Teaching Mathematics Conceptually

Teaching Mathematics Conceptually

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  • Author: Beth L. MacDonald
  • Publisher: Sage Publications UK
  • ISBN: 1529617901
  • Category : Education
  • Languages : en
  • Pages : 185

This book expands upon the guiding principles at the heart of Math Recovery® instruction, exploring their connections with learning theory, practical application in the classroom and their wider links to agreed concepts of high-quality mathematics teaching. It provides a well-rounded overview of all major aspects of mathematics teaching including inquiry-based and constructivist approaches, planning and assessment, and strategies that offer children opportunities for reflection, satisfaction and increasing challenge. Particular focus is placed on equitable and inclusive practices in mathematics and how we can develop teaching that connects with the abilities, cultures, and lived experiences of all children. This is essential reading for all teachers familiar with the Math Recovery® approach and classroom mathematics teachers in elementary and primary schools everywhere seeking to enhance their own professional knowledge and understanding. Beth L. MacDonald is an associate professor in Early Childhood Mathematics Education in the School of Teaching and Learning at Illinois State University. Jonathan N. Thomas is an associate professor of mathematics education and the chairperson of the Department of STEM Education at the University of Kentucky.


Concept-Based Mathematics

Concept-Based Mathematics

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  • Author: Jennifer T.H. Wathall
  • Publisher: Corwin Press
  • ISBN: 1506332633
  • Category : Education
  • Languages : en
  • Pages : 297

Give math students the connections between what they learn and how they do math—and suddenly math makes sense If your secondary-school students are fearful of or frustrated by math, it’s time for a new approach. When you teach concepts rather than rote processes, you help students discover their own natural mathematical abilities. This book is a road map to retooling how you teach math in a deep, clear, and meaningful way to help students achieve higher-order thinking skills. Jennifer Wathall shows you how to plan units, engage students, assess understanding, incorporate technology, and there’s even a companion website with additional resources.


10 Concepts Every Math Teacher Should Know

10 Concepts Every Math Teacher Should Know

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  • Author: Sandra Goff
  • Publisher: Rain Publishing Incorporated
  • ISBN: 9780991661893
  • Category : Education
  • Languages : en
  • Pages : 90

As we strive to create a seamless and meaningful mathematics experience for our students, it is important for us to have a strong understanding of what conceptual knowledge looks like in the classroom. This understanding is essential to planning engaging lessons, delivering effective classroom instruction and developing valid assessments that are a balanced combination of factual knowledge, procedural fluency and conceptual knowledge. 10 Concepts Every Math Teacher Should Know demonstrates the following: -It is important for teachers to have a clear understanding of how concepts evolve across grade levels. -Understanding how these concepts evolve will help teachers design experiences for students that deepen their understanding of mathematics. -Understanding how these concepts work will build our students' confidence in their ability to be problem solvers. -It is critical for teachers to use the same conceptual language across grade levels to increase our students' chances of success.


Vital Directions for Mathematics Education Research

Vital Directions for Mathematics Education Research

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  • Author: Keith R Leatham
  • Publisher: Springer Science & Business Media
  • ISBN: 1461469775
  • Category : Education
  • Languages : en
  • Pages : 207

This book provides a collection of chapters from prominent mathematics educators in which they each discuss vital issues in mathematics education and what they see as viable directions research in mathematics education could take to address these issues. All of these issues are related to learning and teaching mathematics. The book consists of nine chapters, seven from each of seven scholars who participated in an invited lecture series (Scholars in Mathematics Education) at Brigham Young University, and two chapters from two other scholars who are writing reaction papers that look across the first seven chapters. The recommendations take the form of broad, overarching principles and ideas that cut across the field. In this sense, this book differs from classical “research agenda projects,” which seek to outline specific research questions that the field should address around a central topic.


The Problem with Math Is English

The Problem with Math Is English

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  • Author: Concepcion Molina
  • Publisher: John Wiley & Sons
  • ISBN: 1118095707
  • Category : Education
  • Languages : en
  • Pages : 310

Teaching K-12 math becomes an easier task when everyone understands the language, symbolism, and representation of math concepts Published in partnership with SEDL, The Problem with Math Is English illustrates how students often understand fundamental mathematical concepts at a superficial level. Written to inspire ?aha? moments, this book enables teachers to help students identify and comprehend the nuances and true meaning of math concepts by exploring them through the lenses of language and symbolism, delving into such essential topics as multiplication, division, fractions, place value, proportional reasoning, graphs, slope, order of operations, and the distributive property. Offers a new way to approach teaching math content in a way that will improve how all students, and especially English language learners, understand math Emphasizes major attributes of conceptual understanding in mathematics, including simple yet deep definitions of key terms, connections among key topics, and insightful interpretation This important new book fills a gap in math education by illustrating how a deeper knowledge of math concepts can be developed in all students through a focus on language and symbolism.


Concept Attainment Model in Mathematics Teaching

Concept Attainment Model in Mathematics Teaching

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  • Author: K. S. Prabhakaram
  • Publisher: Discovery Publishing House
  • ISBN: 9788171414246
  • Category : Mathematics
  • Languages : en
  • Pages : 124

Mathematics is one of the core subjects in school education. The need to make mathematics teaching interesting and effective is, therefore, felt all around. Concept Attainment Model is considered to be effective in teaching mathematical concepts. So a research study to evaluate the effectiveness of CAM in maths teaching has been undertaken. As the utilisation of innovative teaching approaches help the students a lot, it is always better to apply the techniques like CAM wherever and whenever there is a possibility. The teachers and researchers will get a great advantage with this book.


Mathematics for Elementary Teachers

Mathematics for Elementary Teachers

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  • Author: Albert B. Bennett
  • Publisher: McGraw-Hill Europe
  • ISBN: 9780071310024
  • Category : Mathematics
  • Languages : en
  • Pages :

Overview: Albert B. Bennett, Jr. and L. Ted Nelson have presented hundreds of workshops on how to give future teachers the conceptual understanding and procedural fluency they will need in order to successfully teach elementary-school mathematics. The Eighth Edition of Mathematics for Elementary Teachers: A Conceptual Approach continues their innovative, time-tested approach: an emphasis on learning via specific, realistic examples and the extensive use of visual aids, hands-on activities, problem-solving strategies and active classroom participation. Special features in the text ensure that prospective teachers will gain not only a deeper understanding of the mathematical concepts, but also a better sense of the connections between their college math courses and their future teaching experiences, along with helpful ideas for presenting math to their students in a way that will generate interest and enthusiasm. The text draws heavily on NCTM Standards and contains many pedagogical elements designed to foster reasoning, problem-solving and communication skills. The text also incorporates references to the virtual manipulative kit and other online resources that enhance the authors' explanations and examples.


Concept-rich Mathematics Instruction

Concept-rich Mathematics Instruction

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  • Author: Meir Ben-Hur
  • Publisher: ASCD
  • ISBN: 141660359X
  • Category : Education
  • Languages : en
  • Pages : 162

Presents an instructional approach that helps students in every grade level understand math concepts so they can apply them on assessments, across the curriculum, and outside of school. Provides teaching practices and lesson ideas that give students a stronger foundation for reasoning and problem solving.


What is Mathematics: School Guide to Conceptual Understanding of Mathematics

What is Mathematics: School Guide to Conceptual Understanding of Mathematics

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  • Author: Catalin Barboianu
  • Publisher: PhilScience Press
  • ISBN: 9731991980
  • Category : Education
  • Languages : en
  • Pages : 315

This is not a mathematics book, but a book about mathematics, which addresses both student and teacher, with a goal as practical as possible, namely to initiate and smooth the way toward the student's full understanding of the mathematics taught in school. The customary procedural-formal approach to teaching mathematics has resulted in students' distorted vision of mathematics as a merely formal, instrumental, and calculatory discipline. Without the conceptual base of mathematics, students develop over time a "mathematical anxiety" and abandon any effort to understand mathematics, which becomes their "traditional enemy" in school. This work materializes the results of the inter- and trans-disciplinary research aimed toward the understanding of mathematics, which concluded that the fields with the potential to contribute to mathematics education in this respect, by unifying the procedural and conceptual approaches, are epistemology and philosophy of mathematics and science, as well as fundamentals and history of mathematics. These results argue that students' fear of mathematics can be annulled through a conceptual approach, and a student with a good conceptual understanding will be a better problem solver. The author has identified those zones and concepts from the above disciplines that can be adapted and processed for familiarizing the student with this type of knowledge, which should accompany the traditional content of school mathematics. The work was organized so as to create for the reader a unificatory image of the complex nature of mathematics, as well as a conceptual perspective ultimately necessary to the holistic understanding of school mathematics. The author talks about mathematics to convince readers that to understand mathematics means first to understand it as a whole, but also as part of a whole. The nature of mathematics, its primary concepts (like numbers and sets), its structures, language, methods, roles, and applicability, are all presented in their essential content, and the explanation of non-mathematical concepts is done in an accessible language and with many relevant examples.


Mathematics for Elementary Teachers: A Conceptual Approach

Mathematics for Elementary Teachers: A Conceptual Approach

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  • Author: Laurie Burton
  • Publisher: McGraw-Hill Higher Education
  • ISBN: 1259292843
  • Category :
  • Languages : en
  • Pages : 1008

The tenth edition of Mathematics for Elementary Teachers: A Conceptual Approach continues the innovative time-tested approach of the previous editions: an emphasis on learning via specific, realistic examples and the extensive use of visual aids, hands-on activities, problem-solving strategies and active classroom participation. Features of the text focus on ensuring that prospective teachers will gain not only a deeper understanding of the mathematical concepts, but also a better sense of the connections between their college math courses and their future teaching experiences, along with helpful ideas for presenting math to their students in a way that will generate interest and enthusiasm. The text draws heavily on Common Core Standards and contains many pedagogical elements designed to foster reasoning, problem-solving and communication skills. Additionally, this text can be packaged with an activity set that corresponds to each section of the companion text, Mathematics for Elementary Teachers: An Activity Approach, also by the Bennett, Burton, and Nelson team. Mathematics for Elementary Teachers: An Activity Approach can be used independently or along with its companion, Mathematics for Elementary Teachers: A Conceptual Approach.