Mathematics for the Million: How to Master the Magic of Numbers

Mathematics for the Million: How to Master the Magic of Numbers PDF

Author: Lancelot Hogben

Publisher: W. W. Norton & Company

Published: 1993-09-17

Total Pages: 656

ISBN-13: 0393347222

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"It makes alive the contents of the elements of mathematics."—Albert Einstein Taking only the most elementary knowledge for granted, Lancelot Hogben leads readers of this famous book through the whole course from simple arithmetic to calculus. His illuminating explanation is addressed to the person who wants to understand the place of mathematics in modern civilization but who has been intimidated by its supposed difficulty. Mathematics is the language of size, shape, and order—a language Hogben shows one can both master and enjoy.

Problem-Solving Through Problems

Problem-Solving Through Problems PDF

Author: Loren C. Larson

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 352

ISBN-13: 1461254981

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This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.

Mathematics For The Million

Mathematics For The Million PDF

Author: Lancelot Hogben

Publisher: W. W. Norton & Company

Published: 1968

Total Pages: 662

ISBN-13: 9780393310719

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Explains mathematics from counting to calculus in the light of man's changing social achievements.

Transformational Change Efforts: Student Engagement in Mathematics through an Institutional Network for Active Learning

Transformational Change Efforts: Student Engagement in Mathematics through an Institutional Network for Active Learning PDF

Author: Wendy M. Smith

Publisher: American Mathematical Soc.

Published: 2021-05-05

Total Pages: 348

ISBN-13: 1470463776

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The purpose of this handbook is to help launch institutional transformations in mathematics departments to improve student success. We report findings from the Student Engagement in Mathematics through an Institutional Network for Active Learning (SEMINAL) study. SEMINAL's purpose is to help change agents, those looking to (or currently attempting to) enact change within mathematics departments and beyond—trying to reform the instruction of their lower division mathematics courses in order to promote high achievement for all students. SEMINAL specifically studies the change mechanisms that allow postsecondary institutions to incorporate and sustain active learning in Precalculus to Calculus 2 learning environments. Out of the approximately 2.5 million students enrolled in collegiate mathematics courses each year, over 90% are enrolled in Precalculus to Calculus 2 courses. Forty-four percent of mathematics departments think active learning mathematics strategies are important for Precalculus to Calculus 2 courses, but only 15 percnt state that they are very successful at implementing them. Therefore, insights into the following research question will help with institutional transformations: What conditions, strategies, interventions and actions at the departmental and classroom levels contribute to the initiation, implementation, and institutional sustainability of active learning in the undergraduate calculus sequence (Precalculus to Calculus 2) across varied institutions?

New Mathematics Education Research and Practice

New Mathematics Education Research and Practice PDF

Author:

Publisher: BRILL

Published: 2006-01-01

Total Pages: 321

ISBN-13: 9087903510

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Mathematics education research has blossomed into many different areas which we can see in the programmes of the ICME conferences as well as in the various survey articles in the Handbooks. However, all of these lines of research are trying to grapple with a common problem, the complexity of the process of learning mathematics.

If You Made a Million

If You Made a Million PDF

Author: David M. Schwartz

Publisher: Harper Collins

Published: 1994-11-15

Total Pages: 42

ISBN-13: 0688136346

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If You Made a Million Have you ever wanted to make a million dollars? Marvelosissimo the Mathematical Magician is ready, willing, and able to explain the nuts and bolts -- as well as the mystery and wonder -- of earning money, investing it, accruing dividends and interest, and watching savings grow. Hey, you never know! An ALA Notable Book A Horn Book Fanfare Selection A School Library Journal Best Book of the Year A Teachers' Choices Selection

Mathematics and the Image of Reason

Mathematics and the Image of Reason PDF

Author: Mary Tiles

Publisher: Routledge

Published: 2013-01-11

Total Pages: 210

ISBN-13: 1134967713

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A thorough account of the philosophy of mathematics. In a cogent account the author argues against the view that mathematics is solely logic.

Math Power

Math Power PDF

Author: Patricia Clark Kenschaft

Publisher: Courier Corporation

Published: 2014-01-05

Total Pages: 336

ISBN-13: 0486782158

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Critically acclaimed and commercially successful, this resource is packed with useful information and instruction. Features proven teaching techniques, games, and more. Suitable for parents of children from preschool to age 10. 2006 edition.

Visible Learning for Mathematics, Grades K-12

Visible Learning for Mathematics, Grades K-12 PDF

Author: John Hattie

Publisher: Corwin Press

Published: 2016-09-15

Total Pages: 209

ISBN-13: 1506362958

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Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.