 Acquisition of Arithmetic (Learning and Mathematics)  H. Ginsburg; Math Forum
In a chapter entitled "Learning to Count. Computing with Written Numbers. Mistakes" in the 1977 book, Children's Arithmetic: How They Learn It and How You Teach It, Ginsburg draws heavily on the idea of assimilation  the incorporation of new ideas into
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 APStatistics Dissertation  Kim Robinson, Clayton College & State University
A qualitative research study focused on students' learning and their performance on the Advanced Placement Exam with respect to conceptoriented instruction as recommended by the AP Statistics Test Development Committee. Organized into chapters, including
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 Beyond the IndividualSocial Antimony in Discussions of Piaget and Vygotsky  Cole, Wertsch
A discussion of the ongoing debate about the relation between the ideas of Vygotsky and Piaget, emphasizing a cardinal difference between them: their views concerning the importance of culture, in particular, the role of mediation of action through artifacts,
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 Bridging The Gap  Nicora Placa
Blog by a former elementary and middle school math teacher pursuing a Ph.D. in teaching and learning. Posts, which date back to April, 2013, have included "The subway ad that changed my life," "Transforming the Teaching Profession: It starts with RESPECT,"
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 Center for the Development of Teaching (CDT)  Education Development Center, Inc. (EDC)
A research and development center whose goal is to learn how teachers' practice can be transformed to support students' construction of knowledge. Currently focusing on mathematics and science teaching, the Center carries out research and action projects
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 Cognition Learning and Development Lab  Nicole McNeil, University of Notre Dame
The Cognition Learning and Development (CLAD) Lab studies how children think, learn, and solve math problems, in pursuit of the mechanisms involved in the development of quantitative reasoning, symbolic understanding, and problem solving. What basic cognitive
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 Daniel Willingham
From the author of Why Don't Students Like School? and When Can You Trust the Experts? (subtitled: "How to tell good science from bad in education"). See, in particular, Willingham's articles, such as "Why transfer is hard," "Why students remember or
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 Deliberative Discourse Idealized and Realized: Accountable Talk in the Classroom and in Civic Life  Sarah Michaels, Catherine O’Connor, Lauren B. Resnick
An article in PDF format. Abstract: Classroom discussion practices that can lead to reasoned participation by all students are presented and described by the authors. Their research emphasizes the careful orchestration of talk and tasks in academic learning.
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 Department of Science & Mathematics Education: Research and Development  Univ. of Melbourne, Australia
Read faculty research and learn about their projects and interests: children's understanding of statistical and probabilistic concepts; the negotiation of meaning in mathematics & science classrooms (The Classroom Project); the expression of algorithms
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 The Four Learning Styles in the DVC Survey  Suzanne Miller, Diablo Valley College
Descriptions of and strategies for four learning styles: visual/verbal, visual/nonverbal, tactile/kinesthetic, and auditory/verbal style. With tips for studying mathematics and a link to the Learning Styles Survey online.
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 Gateways to Advanced Mathematical Thinking (GAMT)  Michelle Manes; Education Development Center, Inc. (EDC)
The goal of this project is to research the ways in which high school and college mathematics students come to acquire flexible understandings of essential concepts needed for analytic and algebraic thinking. Integral to this research effort is the development
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 Girls' Attitudes, SelfExpectations, and Performance in Math  Michelle Maraffi; Math Forum
For those concerned about girls' negative attitudes and expectations in the study of mathematics who want to improve and increase girls' performance and learning in math: an annotated bibliography of articles and studies designed to give teachers and
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 Horizon Research, Inc.
A private research firm located in Chapel Hill, North Carolina, that specializes in work related to science and mathematics education. Recent project include Looking Inside the Classroom, A Study of K12 Mathematics and Science Education in the United
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 Interactive Learning (Learning and Mathematics)  Brown, et al.; Math Forum
In a chapter entitled "Interactive learning and individual understanding: The case of reading and mathematics" in the 1991 book, Culture, schooling, and psychological development,  Brown, Campione, Reeve, Ferrara & Palincsar discuss learning in which
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 International Group for the Psychology of Mathematics Education  Psychology of Mathematics Education (PME)
The International Group for the Psychology of Mathematics Education is a group of researchers dedicated to promoting international contacts and the exchange of scientific information in the psychology of mathematics education; promoting and stimulating
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 Jo Boaler
From the author of What's Math Got to Do with It?: How Parents and Teachers Can Help Children Learn to Love Their Least Favorite Subject. Watch a YouTube clip of Boaler teach using Inquiry Based Learning method, or click through her presentation entitled
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 Kagan Publishing and Professional Development
Publications and teacher training to provide children with the situations in which they behave most cooperatively. In addition to greater cooperation, Kagan's "structures" aim for greater academic achievement, improved ethnic relations, enhanced selfesteem,
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 Language and Mathematics (Learning and Mathematics)  Cocking, Chipman; Math Forum
In their 1989 paper, "Conceptual Issues Related to Mathematics Achievement of Language Minority Children," Cocking and Chipman examine the mathematical ability of language minority  particularly bilingual  students, attempting to identify linguistic
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 Learning and Mathematics  Math Forum
Newsgroup discussions among mathematicians, math teachers, and students of educational psychology on the Math Forum's newsgroup geometryprecollege, inspired by recent work on how students learn mathematics. With five related annotated bibliographies.
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 Learning Fractions (Learning and Mathematics)  Nancy K. Mack; Math Forum
In this 1990 article, Nancy K. Mack of the University of Pittsburgh considers how informal knowledge (such as dividing a pizza) can be used to enhance formal knowledge (such as one's understanding of fractions). Informal knowledge in this context means
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 Learning to Learn: Problem Solving  Greg Gay, Learning Disabilities Resource Community (LDRC), University of Toronto
Find out about your learning style by solving challenging arithmetic, logic, and mathematical story problems. Puzzles include analogy exercises which reveal our abilities to infer, map meaning, classify, and alter knowledge in the face of novel learning;
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 Lev Semenovich Vygotsky Centennial Project  A.J. Lock, Dept. of Psychology, Massey University, New Zealand
A 1996 site cataloguing resources on Lev Semenovich Vygotsky (18961934), marking the centenary of Vygotsky's birth by setting up the equivalent of a Web conference on his opus. The site invites people to submit a piece of around 1000 words as comments
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 Mark Wahl Math Learning/Teaching Resources
Math methods and activity books written by Mark Wahl for teachers, homeschoolers and parents (especially grades 39), as well as information on Wahl's customized teacher or parent workshops and conferences, and some math and education links. Specialties:
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 Math and a Music Education  Ivars Peterson (Mathland)
Peterson discusses explorations into math and music by Pythagoras, Johannes Kepler, Galileo Galilei, Leonhard Euler, Johann Sebastian Bach, Frederic Chopin, and twentiethcentury composers, and cites a Nature journal article about a study suggesting that
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 The Math Circle  Robert Kaplan
Why are most children bored by math  or worse, frightened of it  when its beauties are so many and its pleasures so great? Probably because it is usually taught by people who fear it, and who therefore teach their fear. To counter this, three of us
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 MathEduc Database  ZDM
MathEduc (formerly MATHDI) is the only international reference database offering a worldwide overview of literature on research, theory and practice in mathematics education. MathEduc also covers education in computer science on the elementary level.
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 The Mathematical Brain  Brian Butterworth
From his book The Mathematical Brain, Butterworth freely offers chapter ten, titled "From fear of fractions to the joy of maths." The sample chapter also includes a test to assess whether you think like a mathematician, and Butterworth's "threestep programme
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 Mathematics and Language  Tony Brown
This paper considers the relation between mathematics and language, with particular reference to the work on language by Jacques Derrida. Brown examines how language functions in organising mental activity and suggests that since language is so fundamental
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 Mathematics and Motivation  Liza Ewen; Math Forum
An annotated bibliography offering a collection of articles, chapters and Math Forum discussions that begin to address how student motivation affects mathematics learning and instruction. The question of how to motivate students in the classroom has become
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 Mathematics  Centre for Educational Technology (CET)
A research and development center for math education. Read descriptions of CET's programs and workbooks, including One, Two and Three (Aahat, Shtayim, Ve Shalosh), for grades K6; and Visualizing Mathematics, for grades 712. Learn about and download
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 Mathetics (Learning and Mathematics)  Seymour Papert; Math Forum
In Chapters 5, 6, and 7 of his 1993 book, The Children's Machine, Papert examines the art of learning, a topic that he contends has been widely ignored by educational researchers and practitioners. In Chapter 5 he introduces the concept of 'mathetics',
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 Math Minds  Kristin Gray
Blog by a K5 Math Specialist in Lewes, Delaware. Posts, which date back to April, 2013, have included "Embracing Disequilibrium," "Marilyn Burns  NCSM Presentation," "NCSM  Jo Boaler  Promoting Equity Through Teaching for a Growth Mindset," "Connecting
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 The Math Skills Development Project  Michele M. M. Mazzocco, Director
The Math Skills Development Project (MSDP) researches how cognitive, behavioral, and genetic factors contribute toward successful mathematics achievement. Through longitudinal studies of math ability and achievement during the early school years, the
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 Musings from Mrs. Galvan  Regan Galvan
Blog of "thoughts on teaching math and on promoting social, emotional wellness among my students and colleagues" by a selfdescribed fan of students creating digital portfolios in math. Posts, which date back to February, 2013, have included "Geometry
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 Natural Math  Maria Droujkova
Read about Natural Math research projects, publications, conference presentations, seminars, classes, workshops, and consultations. Download Word documents of research articles such as "Girls on track with information technology," "Using XP with children
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 Panamath  Panamath.org
Have you ever tried to guess how many jelly beans are in a jar without counting? The Panamath test measures your number sense  your intuitive recognition of numbers and their relationships  and approximate number system (ANS) aptitude. Practice estimating
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 Pat Thompson's Home Page  Patrick W. Thompson
Research on students' development of algebra and calculus ideas in grades 316, on the nature of multiplicative reasoning and its role in learning sophisticated mathematical ideas, and on teaching and learning statistical and probabilistic reasoning.
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 PrenticeHall Publishing Company  Pearson Education
A leading publisher of college course materials. For education, see Merrill Education (in particular Educational Psychology and Special Education), or Prentice Hall School, browse math titles by course, or search the PrenticeHall catalog.
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 Psychology of Mathematics Education  North American chapter
PMENA is an organization of mathematics educators, mathematicians, teachers, consultants, researchers, and others interested in the teaching and learning of mathematics.
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 Psychosemiotic Theory and Educational Practice  Alice Leonard
Walkerdine and Corran's (1979) paper showed how psychosemiology may account for developmental data as a potentially fruitful alternative to the better known stage theories, like that of Piaget. They argued that learning mathematics is an ideal activity
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 Reasons for Studying (Learning and Mathematics)  Susan Bobbitt Nolen; Math Forum
In this 1988 article, "Reasons for studying: Motivational orientations and study strategies," Susan Bobbitt Nolen, of the University of Washington, argues that in order to foster meaningful learning and effective study strategies, teachers should reduce
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 Reflections of a Techie  Marsha Ratzel
Reflections "on using 21st century technologies to amplify learning," as blogged by a selfdescribed nerd who teachers middle grades math. Posts, which date back to July, 2003, have included "Finding the Little Truths of Math"; "Rational numbers need
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 Research  Graduate School of Education, University of California, Berkeley
Projects include Berkeley Math Readiness, Boxer Computer Environment; CrossCultural Math Project; Early Development of Mathematical Cognition in Socioeconomic and Cultural Contexts; The Functions Group; The IERI ScaleUp Project; InscriptionRich, ComputerMediated
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 Research in Undergraduate Education  1996 AMS/MAA Joint Meetings  The Math Forum
Listings from the AMSMAA Special Session on Research in Undergraduate Mathematics Education.
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 Science Daily: Research Shows Homework Does Boost Academic Achievement; but Overemphasizing Grades and Performance May Lead to Cheating  American Psychological Association
This article, from the ScienceDaily Magazine site, describes an investigation into the effect of homework and grade emphasis on academic achievement of students and selfreported rates of cheating.
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 Sessions on Research in Undergraduate Math Education  1997 AMS/MAA Joint Meetings
Presentations on research in mathematics education from the Joint Mathematics Meetings, 811 January 1997, San Diego, CA.
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 Some Psychological Aspects of Developing Computer Based Instruction in Undergraduate Advanced Mathematics  Mikhail Bouniaev
A summary of a presentation given at the Joint Mathematics Meetings, January 1013, 1996, Orlando, Florida. The paper deals with research on teaching advanced math using theory of stagebystage development of actions. Since this theory is not very well
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 Spatial Intelligence and Learning Center
The Spatial Intelligence and Learning Center (SILC) researches spatial learning and develops educational programs and technologies. Every month, the SILC showcase highlights research by different members, who include cognitive scientists, psychologists,
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 Special Interest Groups: American Educational Research Association (AERA)  College of Education, Arizona State University
Index and complete list of AERA SIGs, which provide a forum within AERA for the involvement of individuals drawn together by a common interest in a field of study, teaching, or research when the existing divisional structure may not directly facilitate
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 Strategy Acquisition and Application (Learning and Mathematics)  Siegler, Jenkins; Math Forum
In this 1989 article, "Strategy Discovery and Strategy Generalization," Robert S. Siegler and Eric Jenkins of CarnegieMellon University discuss how children acquire and apply strategies, looking closely at a small group of students over a long period
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