What Is Mathematics School Guide To Conceptual Understanding Of Mathematics
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What Is Mathematics School Guide To Conceptual Understanding Of Mathematics
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Author : Catalin Barboianu
language : en
Publisher: PhilScience Press
Release Date : 2021-01-18
What Is Mathematics School Guide To Conceptual Understanding Of Mathematics written by Catalin Barboianu and has been published by PhilScience Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-18 with Education categories.
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.
Concept Mapping As An Assessment Tool For Conceptual Understanding In Mathematics
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Author : Haiyue JIN
language : en
Publisher: Routledge
Release Date : 2022-05-05
Concept Mapping As An Assessment Tool For Conceptual Understanding In Mathematics written by Haiyue JIN and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-05 with Education categories.
This book investigates the practicability and effectiveness of the concept map as a tool for assessing students’ conceptual understanding in mathematics. The author first introduces concept mapping and then employs it to investigate students’ conceptual understanding of four different mathematical topics. Alongside traditional scoring methods, she adopts Social Network Analysis, a new technique, to interpret student-constructed concept maps, which reveals fresh insights into the graphic features of the concept map and into how students connect mathematical concepts. By comparing two traditional school tests with the concept map, she examines its concurrent validity and discusses its strengths and drawbacks from the viewpoint of assessing conceptual understanding. With self-designed questionnaires, interviews, and open-ended writing tasks, she also investigates students and teachers’ attitudes toward concept mapping and describes the implications these findings may have for concept mapping’s use in school and for further research on the topic. Scholars and postgraduate students of mathematics education and teachers interested in concept mapping or assessing conceptual understanding in classroom settings will find this book an informative, inspiring, and overall valuable addition to their libraries.
Understanding Your Game A Mathematician S Advice For Rational And Safe Gambling
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Author : Catalin Barboianu
language : en
Publisher: PhilScience Press
Release Date : 2022-04-15
Understanding Your Game A Mathematician S Advice For Rational And Safe Gambling written by Catalin Barboianu and has been published by PhilScience Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-15 with Mathematics categories.
Dr. Cătălin Bărboianu, a recognized authority in gaming mathematics, philosopher of science, and problem-gambling researcher, proposes in this practical guide for both problem and non-problem gamblers a new pragmatic, conceptual approach of gambling mathematics. The primary aim of this guide is the adequate understanding of the essence and complexity of gambling through its mathematical dimension. The author starts from the premise that formal gambling mathematics, which is hardly even digestible for the non-math-inclined gamblers, is ineffective alone in correcting the specific cognitive distortions associated with gambling. By applying the latest research results in this field, the author blends the gambling-mathematics concepts with the epistemology of applied mathematics and cognitive psychology for providing gamblers the knowledge required for rational and safe gambling. It is not a standard book of gambling mathematics. The essential mathematical concepts are explained in a conceptual mode for the non-math reader, limited to their context of application and including their precise relationship with the real world of gambling. The entire mathematical dimension of gambling is reduced to seven general principles, explained at large in the seven main chapters, each generating a set of general recommendations applicable in general or in particular situations. These recommendations cover both the technical play, including objective and optimal strategies, and responsible, safe gambling. The guide has entire sections dedicated to roulette, blackjack, slots, poker, and sport betting; however, the principles and the associated advice are applicable in general to all games of chance. A major focus of the work is on explaining, making aware of, demounting, and correcting the classical gambling cognitive distortions (misconceptions, subjective estimations of probabilities, the Monte Carlo fallacy, conjunction and disjunction fallacies, the near-miss effect, illusion of control, and the misunderstanding of gambling language). The guide provides the required cognitive tools for correcting these distortions with the help of the mathematical concepts and addresses not only gamblers, but also gambling experts, including counselors.
A Complete Guide To Rubrics
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Author : Audrey M. Quinlan
language : en
Publisher: Bloomsbury Publishing USA
Release Date : 2011-11-10
A Complete Guide To Rubrics written by Audrey M. Quinlan and has been published by Bloomsbury Publishing USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-10 with Education categories.
This book takes a developmental perspective at the use of scoring rubrics to assess student work. Citing developmental characteristics of each age, the author presents examples and adaptations of assessment rubrics on a variety of subjects for teachers from kindergarten through adult/college. After a presentation of foundation information on rubrics, separate chapters are devoted to each grade level from primary through adult. Written so that each chapter can be addressed independently, the book provides additional chapters devoted to assessing technological topics and using rubrics with students with special needs. The final chapters provide practical information to help teachers to create their own rubrics and to covert rubric scores to letter grades. An updated annotated listing of recommended rubric websites is included.
Eureka Math Geometry Study Guide
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Author : Great Minds
language : en
Publisher: John Wiley & Sons
Release Date : 2016-08
Eureka Math Geometry Study Guide written by Great Minds and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08 with Education categories.
The team of teachers and mathematicians who created Eureka Math™ believe that it's not enough for students to know the process for solving a problem; they need to know why that process works. That's why students who learn math with Eureka can solve real-world problems, even those they have never encountered before. The Study Guides are a companion to the Eureka Math program, whether you use it online or in print. The guides collect the key components of the curriculum for each grade in a single volume. They also unpack the standards in detail so that anyone—even non-Eureka users—can benefit. The guides are particularly helpful for teachers or trainers seeking to undertake or lead a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. We're here to make sure you succeed with an ever-growing library of resources. Take advantage of the full set of Study Guides available for each grade, PK-12, or materials at eureka-math.org, such as free implementation and pacing guides, material lists, parent resources, and more.
Eureka Math Curriculum Study Guide
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Author : Common Core
language : en
Publisher: John Wiley & Sons
Release Date : 2015-03-23
Eureka Math Curriculum Study Guide written by Common Core and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-23 with Education categories.
Eureka Math is a comprehensive, content-rich PreK–12 curriculum that follows the focus and coherence of the Common Core State Standards in Mathematics (CCSSM) and carefully sequences the mathematical progressions into expertly crafted instructional modules. The companion Study Guides to Eureka Math gather the key components of the curriculum for each grade into a single location, unpacking the standards in detail so that both users and non-users of Eureka Math can benefit equally from the content presented. Each of the Eureka Math Curriculum Study Guides includes narratives that provide educators with an overview of what students should be learning throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, approaches to differentiated instruction, and descriptions of mathematical models. The Study Guides can serve as either a self-study professional development resource or as the basis for a deep group study of the standards for a particular grade. For teachers who are new to the classroom or the standards, the Study Guides introduce them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful. Teachers familiar with the Eureka Math curriculum will also find this resource valuable as it allows for a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. The Study Guides allow teachers to obtain a firm grasp on what it is that students should master during the year. The Eureka Math Curriculum Study Guide, Grade 5 provides an overview of all of the Grade 5 modules, including Place Value and Decimal Fractions; Multi-Digit Whole Number and Decimal Fraction Operations; Addition and Subtraction of Fractions; Multiplication and Division of Fractions and Decimal Fractions; Addition and Multiplication with Volume and Areal; Problem Solving with the Coordinate Plane.
Eureka Math Grade K Study Guide
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Author : Great Minds
language : en
Publisher: John Wiley & Sons
Release Date : 2015-09-18
Eureka Math Grade K Study Guide written by Great Minds and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-18 with Education categories.
Eureka Math is a comprehensive, content-rich PreK–12 curriculum that follows the focus and coherence of the Common Core State Standards in Mathematics (CCSSM) and carefully sequences the mathematical progressions into expertly crafted instructional modules. The companion Study Guides to Eureka Math gather the key components of the curriculum for each grade into a single location, unpacking the standards in detail so that both users and non-users of Eureka Math can benefit equally from the content presented. Each of the Eureka Math Curriculum Study Guides includes narratives that provide educators with an overview of what students should be learning throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, approaches to differentiated instruction, and descriptions of mathematical models. The Study Guides can serve as either a self-study professional development resource or as the basis for a deep group study of the standards for a particular grade. For teachers who are new to the classroom or the standards, the Study Guides introduce them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful. Teachers familiar with the Eureka Math curriculum will also find this resource valuable as it allows for a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. The Study Guides allow teachers to obtain a firm grasp on what it is that students should master during the year. The Eureka Math Curriculum Study Guide, Grade K provides an overview of all of the Kindergarten modules, including Numbers to 10; Two-Dimensional and Three-Dimensional Shapes; Comparison of Length, Weight, Capacity, and Numbers to 10; Number Pairs, Addition and Subtraction to 10; Numbers 10–20 and Counting to 10; and Analyzing Comparing and Composing Shapes.
Eureka Math Grade 7 Study Guide
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Author : Great Minds
language : en
Publisher: John Wiley & Sons
Release Date : 2016-04-20
Eureka Math Grade 7 Study Guide written by Great Minds and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-20 with Education categories.
Eureka Math is a comprehensive, content-rich PreK–12 curriculum that follows the focus and coherence of the Common Core State Standards in Mathematics (CCSSM) and carefully sequences the mathematical progressions into expertly crafted instructional modules. The companion Study Guides to Eureka Math gather the key components of the curriculum for each grade into a single location, unpacking the standards in detail so that both users and non-users of Eureka Math can benefit equally from the content presented. Each of the Eureka Math Curriculum Study Guides includes narratives that provide educators with an overview of what students should be learning throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, approaches to differentiated instruction, and descriptions of mathematical models. The Study Guides can serve as either a self-study professional development resource or as the basis for a deep group study of the standards for a particular grade. For teachers who are new to the classroom or the standards, the Study Guides introduce them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful. Teachers familiar with the Eureka Math curriculum will also find this resource valuable as it allows for a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. The Study Guides allow teachers to obtain a firm grasp on what it is that students should master during the year. The Eureka Math Curriculum Study Guide, Grade 7 provides an overview of all of the Grade 7 modules, including Ratios and Proportional Relationships; Rational Numbers; Expressions and Equations; Percent and Proportional Relationships; Statistics and Probability; Geometry.
Eureka Math Grade 8 Study Guide
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Author : Great Minds
language : en
Publisher: John Wiley & Sons
Release Date : 2016-04-20
Eureka Math Grade 8 Study Guide written by Great Minds and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-20 with Education categories.
Eureka Math is a comprehensive, content-rich PreK–12 curriculum that follows the focus and coherence of the Common Core State Standards in Mathematics (CCSSM) and carefully sequences the mathematical progressions into expertly crafted instructional modules. The companion Study Guides to Eureka Math gather the key components of the curriculum for each grade into a single location, unpacking the standards in detail so that both users and non-users of Eureka Math can benefit equally from the content presented. Each of the Eureka Math Curriculum Study Guides includes narratives that provide educators with an overview of what students should be learning throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, approaches to differentiated instruction, and descriptions of mathematical models. The Study Guides can serve as either a self-study professional development resource or as the basis for a deep group study of the standards for a particular grade. For teachers who are new to the classroom or the standards, the Study Guides introduce them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful. Teachers familiar with the Eureka Math curriculum will also find this resource valuable as it allows for a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. The Study Guides allow teachers to obtain a firm grasp on what it is that students should master during the year. The Eureka Math Curriculum Study Guide, Grade 8 provides an overview of all of the Grade 8 modules, including Integer Exponents and Scientific Notation; The Concept of Congruence; Similarity; Linear Equations; Examples of Functions from Geometry; Linear Functions; Introduction to Irrational Numbers Using Geometry.
Eureka Math Algebra I Study Guide
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Author : Great Minds
language : en
Publisher: John Wiley & Sons
Release Date : 2016-06-17
Eureka Math Algebra I Study Guide written by Great Minds and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-17 with Education categories.
The Eureka Math curriculum provides detailed daily lessons and assessments to support teachers in integrating the Common Core State Standards for Mathematics (CCSSM) into their instruction. The companion guides to Eureka Math gather the key components of the curriculum for each grade into a single location. Both users and non-users of Eureka Math can benefit equally from the content presented. The CCSSM require careful study. A thorough study of the Guidebooks is a professional development experience in itself as users come to better understand the standards and the associated content. Each book includes narratives that provide educators with an overview of what students learn throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, and descriptions of mathematical models. The Guidebooks can serve as either a self-study professional development resource or as the basis for a deep group study of the standards for a particular grade. For teachers who are either brand new to the classroom or to the Eureka Math curriculum, the Grade Level Guidebooks introduce them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful. Teachers already familiar with the curriculum will also find this resource valuable as it allows for a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. The Guidebooks allow teachers to obtain a firm grasp on what it is that students should master during the year.