Learning Mathematics And Logo

Author : Celia Hoyles,Richard Noss
Publisher : MIT Press
Page : 522 pages
File Size : 46,6 Mb
Release : 1992
Category : LOGO (Computer program language).
ISBN : 0262082071

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Learning Mathematics and Logo by Celia Hoyles,Richard Noss Pdf

These original essays summarize a decade of fruitful research and curriculum development using the LISP-derived language Logo. They discuss a range of issues in the areas of curriculum, learning, and mathematics, illustrating the ways in which Logo continues to provide a rich learning environment, one that allows pupil autonomy within challenging mathematical settings.Essays in the first section discuss the link between Logo and the school mathematics curriculum, focusing on the ways in which pupils' Logo activities relate to and are influenced by the ideas they encounter in the context of school algebra and geometry. In the second section the contributions take up pedagogical styles and strategies. They tackle such cognitive and metacognitive questions as, What range of learning styles can the Logo setting accommodate? How can teachers make sense of pupils' preferred strategies? And how can teachers help students to reflect on the strategies they are using? Returning to the mathematical structures, essays in the third section consider a variety of mathematical ideas, drawing connections between mathematics and computing and showing the ways in which constructing Logo programs helps or does not help to illuminate the underlying mathematics.

Author : Wallace Feurzeig,George Lukas,Joan Lukas
Publisher : Unknown
Page : 224 pages
File Size : 48,6 Mb
Release : 1977
Category : LOGO (Computer program language)
ISBN : 0875671055

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The LOGO Language by Wallace Feurzeig,George Lukas,Joan Lukas Pdf

Presents a LOGO-Based Curriculum for Teaching Functions & Equations & Logic. Shows Teachers the Mathematical & Pedagogic Possibilities Inherent in LOGO

Author : John Hattie,Douglas Fisher,Nancy Frey,Linda M. Gojak,Sara Delano Moore,William Mellman
Publisher : Corwin Press
Page : 209 pages
File Size : 48,9 Mb
Release : 2016-09-15
Category : Education
ISBN : 9781506362953

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Visible Learning for Mathematics, Grades K-12 by John Hattie,Douglas Fisher,Nancy Frey,Linda M. Gojak,Sara Delano Moore,William Mellman Pdf

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.

Author : Michelle Selinger
Publisher : Routledge
Page : 249 pages
File Size : 49,9 Mb
Release : 2013-10-31
Category : Education
ISBN : 9781136148767

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Teaching Mathematics by Michelle Selinger Pdf

In this reader, maths teachers in the early years of their careers will find a concise yet comprehensive guide to developments in mathematics teaching in secondary schools and the controversies which currently surround it. After a brief summary of the historical context, a series of short articles provides a range of perspectives on various issues of current debate which will help new teachers in the development of their own teaching styles. These include the impact of computers and calculators in maths teaching, the various arguments about the use of published schemes and for more investigational approaches to the curriculum, and the way in which social and cultural factors can be approached through the teaching of various topics in mathematics. The final section looks at how teachers might continue their professional development through action research in their own classrooms.

Author : Julie Barnes,Jessica M. Libertini
Publisher : American Mathematical Soc.
Page : 303 pages
File Size : 53,6 Mb
Release : 2018-08-06
Category : Mathematics
ISBN : 9781470448011

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Tactile Learning Activities in Mathematics by Julie Barnes,Jessica M. Libertini Pdf

Q: What do feather boas, cookies, and paper shredders have in common? A: They are all ingredients that have the potential to help your undergraduate students understand a variety of mathematical concepts. In this book, 43 faculty from a wide range of institutional settings share a total of 64 hands-on activities that allow students to physically engage with mathematical ideas ranging from the basics of precalculus to special topics appropriate for upper-level courses. Each learning activity is presented in an easy-to-read recipe format that includes a list of supplies; a narrative briefly describing the reasons, logistics, and helpful hints for running the activity; and a page that can be used as a handout in class. Purchase of the book also includes access to electronic printable versions of the handouts. With so many activities, it might be hard to decide where to start. For that reason, there are four indices to help the reader navigate this book: a concept index, a course index, an [Author]; index, and a main ingredient index. In addition to providing activities for precalculus, calculus, commonly required mathematics courses for majors, and more specialized upper-level electives, there is also a section describing how to modify many of the activities to fit into a liberal arts mathematics class. Whether you are new to using hands-on activities in class or are more experienced, the [Author];s hope that this book will encourage and inspire you to explore the possibilities of using more hands-on activities in your classes. Bon appetit!

Author : Celia Hoyles,Rosamund Sutherland
Publisher : Unknown
Page : 242 pages
File Size : 51,6 Mb
Release : 1989
Category : Computer-assisted instruction
ISBN : 0415009510

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Logo Mathematics in the Classroom by Celia Hoyles,Rosamund Sutherland Pdf

Using their three year study of the use of LOGO in the classroom, the authors explore a wide range of issues within mathematics education, and describe the processes of learning LOGO and the mathematical activities involved.

Author : Peter Liljedahl
Publisher : Corwin Press
Page : 454 pages
File Size : 47,9 Mb
Release : 2020-09-28
Category : Education
ISBN : 9781544374840

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Building Thinking Classrooms in Mathematics, Grades K-12 by Peter Liljedahl Pdf

A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.

Author : Marion Anne Barfurth
Publisher : Unknown
Page : 128 pages
File Size : 40,8 Mb
Release : 1987
Category : Electronic
ISBN : OCLC:1032894509

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Learning Math Through LOGO by Marion Anne Barfurth Pdf

Author : Beth McCord Kobett,Karen S. Karp
Publisher : Corwin
Page : 273 pages
File Size : 40,9 Mb
Release : 2020-02-27
Category : Education
ISBN : 9781544374901

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Strengths-Based Teaching and Learning in Mathematics by Beth McCord Kobett,Karen S. Karp Pdf

"This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource! Connie S. Schrock Emporia State University National Council of Supervisors of Mathematics President, 2017-2019 NEW COVID RESOURCES ADDED: A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together. Your game plan for unlocking mathematics by focusing on students’ strengths. We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power? Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing · Downloadable resources, activities, and tools · Examples of student work within Grades K–6 · Real teachers’ notes and reflections for discussion It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful.

Author : L. R. Chapman
Publisher : Elsevier
Page : 406 pages
File Size : 50,8 Mb
Release : 2016-06-06
Category : Mathematics
ISBN : 9781483140018

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The Process of Learning Mathematics by L. R. Chapman Pdf

The Process of Learning Mathematics is a collection of essays from a two-term course of intercollegiate lectures for students of B.Ed. degree. This collection starts with two different views on the nature of mathematics. One essay discusses the role of intuition in understanding mathematics, while another paper expounds on the role of logic. This book then discusses the generalization, structure, and approximations used in teaching mathematics, and emphasizes the problems of applied mathematics and technology pertaining to equations of motion, mathematical representation of physical phenomena, or in relations such as conservation of matter. One paper reviews Piaget's studies on the development of children's thinking process, noting that teachers should consider the level of thinking the pupil uses when designing his teaching material. Another essay deals with how the existing knowledge in a student can affect new kinds of learning through assimilation and accommodation. This book then describes the use of symbols and "reflective intelligence," addressing reflective activities, communication, and the contribution of symbols. This text then discusses computer-assisted education and several mathematical teaching or learning experiments. This compendium can prove useful for mathematics majors, educators, school administrators, and math teachers.

Author : Richard Noss,Celia Hoyles
Publisher : Springer Science & Business Media
Page : 288 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Education
ISBN : 9789400916968

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Windows on Mathematical Meanings by Richard Noss,Celia Hoyles Pdf

This book challenges some of the conventional wisdoms on the learning of mathematics. The authors use the computer as a window onto mathematical meaning-making. The pivot of their theory is the idea of webbing, which explains how someone struggling with a new mathematical idea can draw on supportive knowledge, and reconciles the individual's role in mathematical learning with the part played by epistemological, social and cultural forces.

Author : Jo Boaler,Jen Munson,Cathy Williams
Publisher : John Wiley & Sons
Page : 288 pages
File Size : 40,9 Mb
Release : 2017-08-28
Category : Education
ISBN : 9781119358800

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Mindset Mathematics by Jo Boaler,Jen Munson,Cathy Williams Pdf

Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the first-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person - anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.

Author : Sarah J. Howie,Tjeerd Plomp
Publisher : Routledge
Page : 448 pages
File Size : 43,9 Mb
Release : 2006-04-18
Category : Education
ISBN : 9781134232154

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Contexts of Learning Mathematics and Science by Sarah J. Howie,Tjeerd Plomp Pdf

This book is the result of research from over fifteen countries, asking which background and environmental factors influence achievement in mathematics and science. This research is based on data from the Third International Mathematics and Science Study (TIMSS), which was conducted under the auspices of the International Association for the Evaluation of Educational Achievement (IEA) in 1995 and 1998. In many countries researchers have started secondary analysis of the data in search for relationships between contextual factors and achievement. In these analyses two different approaches can be distinguished, which can be characterised by the metaphors of ‘fishing’ and ‘hunting’. In the ‘fishing’ approach, researchers begin with an open mind, considering all possible context variables as potentially influential. Applying analysis techniques such as regression analysis, Lisrel, PLS, HLM, and MLN, they then identify important factors within their countries or across a number of countries. In the ‘hunting’ approach, researchers hypothesise certain context variables and trace the effect of these variables on mathematics and/or science achievement.

Author : Mindy Capaldi
Publisher : American Mathematical Soc.
Page : 160 pages
File Size : 53,6 Mb
Release : 2021-05-18
Category : Education
ISBN : 9781470462840

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Teaching Mathematics Through Games by Mindy Capaldi Pdf

Active engagement is the key to learning. You want your students doing something that stimulates them to ask questions and creates a need to know. Teaching Mathematics Through Games presents a variety of classroom-tested exercises and activities that provoke the active learning and curiosity that you hope to promote. These games run the gamut from well-known favorites like SET and Settlers of Catan to original games involving simulating structural inequality in New York or playing Battleship with functions. The book contains activities suitable for a wide variety of college mathematics courses, including general education courses, math for elementary education, probability, calculus, linear algebra, history of math, and proof-based mathematics. Some chapter activities are short term, such as a drop-in lesson for a day, and some are longer, including semester-long projects. All have been tested, refined, and include extensive implementation notes.

Author : Anonim
Publisher : Unknown
Page : 141 pages
File Size : 44,6 Mb
Release : 1997
Category : LOGO (Computer program language)
ISBN : 0958687919

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Learning in Logo Microworlds by Anonim Pdf