Math Makes Sense!: A Constructivist Approach To The Teaching And Learning Of Mathematics PDF Download
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Author: Ana Helvia Quintero Publisher: World Scientific ISBN: 1783268662 Category : Mathematics Languages : en Pages : 290
Book Description
The methods for teaching mathematics usually follow the structure of mathematics. The problem with this is that the structure of mathematics took centuries of elaboration to develop and is not the same as how one originally experiences mathematics. Based on research of how mathematics is actually learned, this book presents an innovative approach for teaching mathematics that will engage pupils and can have lifelong benefits for how they take on board more advanced mathematical topics.Math Makes Sense! makes use of the realistic mathematics education (RME) philosophy, which bridges the gap between informal mathematics learning (such as in day-to-day life) and more formal teaching in school. Many real-life situations as examples for learning are included, as well as different mathematical and logic puzzles that will stimulate learning and foster understanding.The ideas presented are not confined to one national curriculum and so can be helpful worldwide to teachers/ instructors (both in practice and those still in training), private tutors, homeschooling parents, and educational researchers.
Author: Ana Helvia Quintero Publisher: World Scientific ISBN: 1783268662 Category : Mathematics Languages : en Pages : 290
Book Description
The methods for teaching mathematics usually follow the structure of mathematics. The problem with this is that the structure of mathematics took centuries of elaboration to develop and is not the same as how one originally experiences mathematics. Based on research of how mathematics is actually learned, this book presents an innovative approach for teaching mathematics that will engage pupils and can have lifelong benefits for how they take on board more advanced mathematical topics.Math Makes Sense! makes use of the realistic mathematics education (RME) philosophy, which bridges the gap between informal mathematics learning (such as in day-to-day life) and more formal teaching in school. Many real-life situations as examples for learning are included, as well as different mathematical and logic puzzles that will stimulate learning and foster understanding.The ideas presented are not confined to one national curriculum and so can be helpful worldwide to teachers/ instructors (both in practice and those still in training), private tutors, homeschooling parents, and educational researchers.
Author: Joseph Michael Assof Publisher: Corwin Press ISBN: 1071953885 Category : Education Languages : en Pages : 153
Book Description
Foster Confidence and Ownership in Every Math Student When it comes to math, does it feel like some students embrace problem-solving with agency and ownership while others are confused—or simply along for the ride? How do educators bridge that divide to develop competence, confidence, and ownership in every student? The answers lie in establishing clear and effective measures for success. Steeped in the principles of success criteria, Whose Math Is It? provides educators with everything they need to create a classroom environment where students feel empowered to step up and take the lead. Divided into two parts, this must-read guide first defines what success looks like for math students, then provides the research-based best practices teachers can use to help students take control of their learning. Learn how to: Define and establish effective success criteria in a mathematics classroom Implement a variety of strategies to support student ownership and success Develop class-wide social norms specific to math Promote metacognition through self-regulated learning, self-assessment, and feedback Reinforce student ownership through structured peer interactions and collaboration Whose Math Is It? is an essential resource for K-12 math teachers who want to empower their students to actively own their mathematics learning. By emphasizing the importance of success criteria, promoting self-regulated learning, and developing math-specific social norms, this book provides practical strategies for creating an environment where when asked, "Whose math is it?" every student can emphatically respond: My math!
Author: Christine Dugan Publisher: Teacher Created Materials ISBN: 1425891918 Category : Language Arts & Disciplines Languages : en Pages : 282
Book Description
Boost students' mathematics vocabulary with easy-to-implement effective strategies! Sample lessons using each strategy are included for grade spans 1-2, 3-5, 6-8, and K-12 using vocabulary words from standards-based, content-specific units of study. Each notebook includes 25 research-based strategies, differentiation suggestions, assessment strategies, sample word lists including both specialized content and general academic words, and family letters in both English and Spanish. This resource is correlated to College and Career Readiness and other state standards.
Author: Larry Zafran Publisher: Larry Zafran ISBN: 1449565107 Category : Mathematics Languages : en Pages : 201
Book Description
An independent book written and self-published by former math teacher and private math tutor Larry Zafran. Students are justified in proclaiming that "math is hard," but there is a specific reason why they feel this way. The author maintains that the struggle can be lessened by following the roadmap presented, but it will take time and effort on the part of the student. Since math is often not properly taught, it is often not properly learned. Anything that hasn't truly been learned, regardless of subject, is "hard." Once the various concepts are more secure, and the student's gaps in understanding have been addressed, math will have been made "a bit easier" as promised by the book's title. However, the book does not imply that learning math is fast, fun, or easy. Most of the book's content is comprised of the roadmap of topics for a student to work through at his/her own pace. Like all paths, it begins at the beginning, in this case starting with a review of basic arithmetic, followed by basic operations, negative numbers, fractions, decimals, percents, and basic probability and statistics. This is the foundation of all math. The space devoted to each topic is proportional to how difficult most students find the topic, as well as how important the topic is in preparation for later math studies. The material is explained conversationally and "in plain English" as promised by the book's subtitle, without talking down to the reader, and without the use of contrived examples or cartoonish illustrations. The book concludes with a chapter on how to effectively study math and improve scores on exams. Like the rest of the book, the chapter takes a unique standpoint on the matter, and offers suggestions which include how to get oneself into the proper mental and emotional mindset for being successful with math.
Author: Linda Dacey Publisher: Teacher Created Materials ISBN: 9781425807757 Category : Education Languages : en Pages : 148
Book Description
It includes: 50 leveled math problems (150 problems total), an overview of the problem-solving process, and ideas for formative assessment of students' problem-solving abilities. It also includes 50 mini-lessons and a dstudent activity sheet featuring a problem tiered at three levels, plus digital resources that inc electronic versions of activity sheets. This resource is aligned to the interdisciplinary themes from the Partnership for 21st Century Skills, and supports core concepts of STEM instruction.
Author: Nanci N. Smith Publisher: Corwin Press ISBN: 1506390323 Category : Education Languages : en Pages : 277
Book Description
As an elementary teacher, you know that students are different and learn differently. And yet, when students enter your classroom, you somehow must teach these unique individuals deep mathematics content using rigorous standards. Is differentiation really the answer? How can it be done well and in less time? Nationally recognized math differentiation expert Nanci Smith debunks the myths, revealing what differentiation is and isn’t. In this engaging book Smith reveals a practical approach to teaching for real learning differences. You’ll gain insights into an achievable, daily differentiation process for ALL students in the K-5 classroom. Theory-lite and practice-heavy, this book shows how to maintain order and sanity while helping your students know, understand, and even enjoy doing mathematics. Classroom videos, teacher vignettes, ready-to-go lesson ideas, and rich K-5 mathematics examples help you build a manageable framework of engaging, sense-making math. Busy K-5 mathematics teachers, coaches, and teacher teams will learn to Provide practical structures for assessing how each of your students learns and processes mathematical concepts Design, implement, manage, and formatively assess and respond to learning in a differentiated classroom Plan specific, standards-aligned differentiated lessons, activities, and assessments Adjust current instructional materials and program resources to better meet students′ needs This book includes classroom videos, in-depth student work samples, student surveys, templates, before-and-after lesson demonstrations, examples of 5-day sequenced lessons, and a robust companion website with downloadables of all the tools in the books plus other resources for further planning. Every Math Learner, Grades K-5 will help you know and understand your students as learners in order to provide daily differentiation that accelerates their mathematics comprehension. "Every Math Learner is a powerful tool for educators serious about meeting the needs of all learners in their mathematics classrooms. Nanci Smith balances philosophy with practicality while providing a glimpse into real classrooms with real students. Teachers will ultimately learn how to lift students up to their greatest potential in learning." —Eileen Hogan, District Mathematics Facilitator, Winnetka District #36
Author: Ana Helvia Quintero
Author: Ray Appel
Author: Ray Appel
Author: Peggy Morrow
Author: Ana Helvia Quintero
Author: 
Author: Joseph Michael Assof
Author: Christine Dugan
Author: Larry Zafran
Author: Linda Dacey
Author: Nanci N. Smith