# Richard Lesh

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Most Influential Person Now

American academic

## Richard Lesh's AcademicInfluence.com Rankings

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## Why Is Richard Lesh Influential?

(Suggest an Edit or Addition)According to Wikipedia, Richard Arthur Lesh, Jr. is a professor of learning sciences, cognitive science, and mathematics education at Indiana University in Bloomington, Indiana. He retired from the IU system in 2012. He graduated from Indiana University in 1971 with a Ph.D. in mathematics, cognitive psychology, and statistics for research in the social sciences. He is also a graduate of Hanover College, where he received a B.A. in mathematics and physics.

## Richard Lesh's Published Works

### Published Works

- Beyond Constructivism: Models and Modeling Perspectives on Mathematics Problem Solving, Learning, and Teaching (2003) (700)
- Representations and translations among representations in mathematics learning and problem solving (1987) (524)
- Rational number, ratio and proportion (1992) (521)
- Principles for Developing Thought-Revealing Activities for Students and Teachers (2000) (509)
- Acquisition of mathematics concepts and processes (1983) (502)
- Handbook of Research Design in Mathematics and Science Education. (2000) (465)
- Rational number concepts (1983) (457)
- Foundations of a Models and Modeling Perspective on Mathematics Teaching, Learning, and Problem Solving (2003) (416)
- Problem Solving, Modeling, and Local Conceptual Development (2003) (290)
- ORDER AND EQUIVALENCE OF RATIONAL NUMBERS: A CLINICAL TEACHING EXPERIMENT (1984) (283)
- Beyond Constructivism (2003) (252)
- Intermediate teachers’ knowledge of rational number concepts (1991) (195)
- Model development sequences (2003) (161)
- From Problem Solving to Modeling: The Evolution of Thinking About Research on Complex Mathematical Activity (2003) (157)
- Models and Modeling Perspectives on the Development of Students and Teachers (2003) (151)
- Modeling in Engineering: The Role of Representational Fluency in Students' Conceptual Understanding (2013) (148)
- Multitiered Teaching Experiments (2000) (144)
- Handbook Of Design Research Methods In Education: Innovations In Science, Technology, Engineering, And Mathematics Learning And Teaching (2018) (133)
- Assessment of Authentic Performance in School Mathematics (1992) (131)
- Iterative Refinement Cycles for Videotape Analyses of Conceptual Change (2000) (127)
- Applied mathematical problem solving (1981) (126)
- Model-Eliciting Activities (MEAs) as a Bridge Between Engineering Education Research and Mathematics Education Research (2008) (125)
- Foundations for the Future in Mathematics Education (2007) (119)
- Mathematics education as a design science (2005) (110)
- Curriculum implications of research on the learning, teaching and assessing of rational number concepts: An integration of research (1993) (94)
- Rational number relations and proportions (1987) (90)
- Modeling Students Modeling Abilities: The Teaching and Learning of Complex Systems in Education (2006) (82)
- A Modeling Perspective on Teacher Development (2003) (78)
- Modeling Students' Mathematical Modeling Competencies: ICTMA 13 (2013) (76)
- A Models and Modeling Perspective on the Role of Small Group Learning Activities (2003) (74)
- Order and equivalence of rational numbers: a cognitive analysis (1985) (73)
- Conceptual Units Analysis of Preservice Elementary School Teachers' Strategies on a Rational-Number-as-Operator Task. (1997) (72)
- Trends in the evolution of models & modeling perspectives on mathematical learning and problem solving (2005) (72)
- Evolving Communities of Mind-In Which Development Involves Several Interacting and Simultaneously Developing Strands (2004) (69)
- Proportionality and the development of pre-algebra understandings (1988) (65)
- Origins and Evolution of Model-Based Reasoning in Mathematics and Science (2003) (62)
- Enabling Innovations in Education and Systematizing their Impact (2008) (62)
- Research Design in Mathematics Education: Focusing on Design Experiments (2002) (61)
- Units of quantity: A conceptual basis common to additive and multiplicative structures (1994) (56)
- What Mathematical Abilities Are Most Needed for Success Beyond School in a Technology Based Age of Information (2000) (54)
- A Models and Modeling Perspective on Problem Solving (2003) (51)
- Introduction to the Special Issue: Modeling as Application versus Modeling as a Way to Create Mathematics (2007) (51)
- A Modeling Approach for Providing Teacher Development (2003) (49)
- Modeling conceptions revisited (2006) (46)
- Rational Number Project: Fraction Lessons for the Middle Grades - Level 1 (1997) (46)
- Future directions and perspectives for problem solving research and curriculum development (2008) (46)
- A Modeling Perspective on Learning and Teaching in Engineering Education (2008) (45)
- Model-Eliciting Activities for Engineering Education (2008) (45)
- A science need: Designing tasks to engage students in modeling complex data (2008) (45)
- In What Ways Does a Models and Modeling Perspective Move Beyond Constructivism (2003) (43)
- Tools, Researchable Issues & Conjectures for Investigating What it Means to Understand Statistics (or Other Topics) Meaningfully (2010) (43)
- Research-based observations about children’s learning of rational number concepts (1986) (43)
- Ends-In-View Problems (2003) (43)
- Models and Modelling Perspectives on Teaching and Learning Mathematics in the Twenty-First Century (2011) (41)
- Qualitative and Numerical Reasoning about Fractions and Rates by Seventh- and Eighth-Grade Students (1990) (41)
- Proportional reasoning: The effect of two context variables, rate type, and problem setting (1989) (40)
- The Blocks Task: Comparative Analyses of the Task With Other Proportion Tasks and Qualitative Reasoning Skills of Seventh-Grade Children in Solving the Task (1992) (40)
- What is Distinctive in (Our Views about) Models & Modelling Perspectives on Mathematics Problem Solving, Learning, and Teaching? (2007) (40)
- Integrating a Models and Modeling Perspective With Existing Research and Practice (2003) (39)
- A Models and Modeling Perspective on Metacognitive Functioning in Everyday Situations Where Problem Solvers Develop Mathematical Constructs (2003) (39)
- Dienes revisited: Multiple embodiments in computer environments (1987) (38)
- Re-conceptualizing Mathematics Education as a Design Science (2010) (37)
- Introduction to Part I Modeling: What Is It? Why Do It? (2010) (36)
- A Models and Modeling Perspective on Technology-Based Representational Media (2003) (35)
- Interest, Identity, and Social Functioning: Central Features of Modeling Activity (2003) (32)
- Formulating Operational Definitions of Desired Outcomes of Instruction in Mathematics and Science Education. (2000) (31)
- Trends and Shifts in Research Methods (2000) (31)
- Teachers' Evolving Conceptions of One-to-One Tutoring: A Three-Tiered Teaching Experiment. (1997) (29)
- The impact of number type on the solution of multiplication and division problems: Further considerations (1994) (29)
- Using a Translation Model for Curriculum Development and Classroom Instruction (2003) (29)
- Invariance of Ratio: The Case of Children's Anticipatory Scheme for Constancy of Taste. (1994) (29)
- A Modeling Approach to Describe Teacher Knowledge (2003) (28)
- Multitiered Design Experiments in Mathematics, Science, and Technology Education (2008) (27)
- Diversity-by-Design: The What, Why, and How of Generativity in Next-Generation Classroom Networks (2007) (27)
- Beyond constructivism: Identifying mathematical abilities that are most needed for success beyond school in an age of information (2000) (27)
- Piagetian Conceptual Systems and Models for Mathematizing Everyday Experiences (2003) (27)
- Number and Measurement. Papers from a Research Workshop. (1976) (26)
- A Conversation With Zoltan P. Dienes (2007) (25)
- Purposes and Assumptions of This Book (2000) (22)
- A diagnostic analysis of a proportional reasoning test item: An introduction to the properties of a semi-dense item (1994) (22)
- Research Agendas: Identifying Priority Problems and Developing Useful Theoretical Perspectives (2000) (21)
- A Semiotic Look at Modeling Behavior (2003) (21)
- Children’s Mathematical Reasoning in Online Games: Can Data Mining Reveal Strategic Thinking? (2011) (21)
- Should Interpretation Systems Be Considered to Be Models if They Only Function Implicitly (2013) (20)
- Introduction to an Economic Problem: A Models and Modeling Perspective (2003) (20)
- Beyond Constructivism: An Improved Fitness Metaphor for the Acquisition of Mathematical Knowledge (2003) (19)
- Training mathematics teachers for realistic math problems: a case of modeling-based teacher education courses (2018) (19)
- Processes, Skills, and Abilities Needed to Use Mathematics in Everyday Situations (1985) (18)
- Whodunit? Exploring Proportional Reasoning through the Footprint Problem. (2003) (18)
- Moving forward in international mathematics education research (2008) (18)
- Local Conceptual Development of Proof Schemes in a Cooperative Learning Setting (2003) (18)
- Recent Research Concerning the Development of Spatial and Geometric Concepts. (1978) (17)
- Modeling as a Means for Making Powerful Ideas Accessible to Children at an Early Age (2013) (17)
- Task-Analysis Cycles as Tools for Supporting Students’ Mathematical Development (2003) (16)
- Problem Solving in the Primary School (K-2) (2013) (15)
- A Models and Modeling Perspective on Skills for the High Performance Workplace (2003) (15)
- A Model and Modelling Perspective on the Role of Small Group Learning (2003) (15)
- Future Issues and Directions in International Mathematics Education Research (2002) (15)
- Chapter 25 Integrating a Models and Modeling Perspective With Existing Research and Practice (2002) (15)
- Algebraic and arithmetic structures: A concrete approach for elementary school teachers (1976) (15)
- Technology Becoming Infrastructural in Mathematics Education (2020) (14)
- Assessment of Authentic Performance in School Mathematics. AAAS Press Series on Assessment and Evaluation. (1992) (13)
- An Interpretation of Advanced Organizers. (1976) (12)
- Rational Number Project (1997) (12)
- Understanding and explicating the design experiment methodology (2002) (12)
- HANDBOOK OF INTERNATIONAL RESEARCH IN MATHEMATICS EDUCATION (SECOND EDITION) (2008) (12)
- Children ’ s Learning from Multiple Media in Informal Mathematics Education (2010) (11)
- Extending the Reach of the Models and Modelling Perspective: A Course-Sized Research Site (2015) (11)
- The EPICS Model in Engineering Education: Perspectives on Problem-Solving Abilities Needed for Success Beyond Schools (2003) (11)
- Engineering and Design Research (2008) (11)
- Mathematical modelling in education research and practice: Cultural, social and cognitive influences (2015) (10)
- How Mathematizing Reality is Different from Realizing Mathematics (2003) (9)
- Fostering Authentic, Sustained and Progressive Mathematical Knowledge-Building Activity in CSCL Communities (2002) (9)
- Selected results from the rational number project (1985) (9)
- Logical and Psychological Aspects of Rational Number Pedagogical Reasoning. (1995) (9)
- A Constructivist Model for Redesigning AI Tutors in Mathematics (1996) (9)
- Interpreting Responses to Problems with Several Levels and Types of Correct Answers (2013) (9)
- The NCTM research presession: a brief history and reflection (2014) (8)
- COGNITIVE PROCESSES AND PRODUCTS IN PROPORTIONAL REASONING (1985) (8)
- Models and Applications as Advanced Organizers. (1976) (8)
- Using learning progress maps to improve instructional decision making (1993) (8)
- Cross-platform learning: children's learning from multiple media (2011) (8)
- A Proposal for a Problem-Driven Mathematics Curriculum Framework (2013) (8)
- Methodologies for investigating relationships between concept development and the development of problem solving abilities (2008) (7)
- Model development sequences: Models and modeling perspectives on mathematics pr (2003) (7)
- Modeling in K-16 Mathematics Classrooms – and Beyond (2010) (7)
- The Influence of an Advanced Organizer on Two Types of Instructional Units About Finite Geometries. (1976) (7)
- Explanations Why? The Role of Explanations in Answers to (Assessment) Problems (2003) (7)
- Directions for Future Research and Development in Engineering Education (2008) (7)
- Models and Modeling. (2002) (7)
- Alternatives to Trajectories and Pathways to Describe Development in Modeling and Problem Solving (2012) (7)
- The Influence of Two Types of Advanced Organizers on an Instructional Unit About Finite Groups. (1976) (6)
- Research in Mathematics Education (1980) (6)
- Data Modeling & the Infrastructural Nature of Conceptual Tools (2007) (5)
- 13 Mathematical Learning (2012) (5)
- Formalizing Learning as a Complex System: Scale Invariant Power Law Distributions in Group and Individual Decision Making (2007) (4)
- Directions for future research. (2020) (4)
- Some theoretical issues in mathematics education : papers from a research presession (1979) (4)
- John Dewey Revisited—Making Mathematics Practical VERSUS Making Practice Mathematical (2020) (4)
- Preservice mathematics teachers’ conceptions of mathematically rich and contextually realistic problems (2021) (3)
- Designing Powerful Environments to Examine and Support Teacher Competencies for Models and Modelling (2018) (3)
- In Memory of Jim Kaput (2006) (3)
- Cross-Platform Learning (2014) (3)
- The Student Experience of Model Development Activties: Going Beyond Correctness to Meet a Client’s Needs (2018) (3)
- Theories of Learning Mathematics (2020) (3)
- LEADERS IN MATHEMATICAL THINKING AND LEARNING (2007) (2)
- Preface to Part XVII (2010) (2)
- A Models and Modeling Approach to Risk and Uncertainty (2015) (2)
- Recent Cooperative Research Concerning the Acquisition of Spatial and Geometric Concepts. (1977) (2)
- Complementary Perspectives@@@Acquisition of Mathematics Concepts and Processes@@@Children's Logical and Mathematical Cognition: Progress in Cognitive Development Research@@@The Development of Mathematical Thinking (1984) (2)
- The Use of Reflection Tools to Build Personal Models of Problem-Solving (2020) (2)
- Differing Conceptions of Problem Solving in Mathematics Education, Science Education, and Professional Schools (2009) (2)
- Teacher Training in Applied Problem Solving: A Study in Metacognition (1983) (2)
- Training mathematics teachers for realistic math problems: a case of modeling-based teacher education courses (2017) (1)
- Multi-Tier Design Assessment in the Development of Complex Organizational Systems (2009) (1)
- External Assessment in Mathematics Education (2020) (1)
- Television, Games, and Mathematics: Effects of Children's Interactions with Multiple Media (2011) (1)
- Representational Fluency: A Means for Students to Develop STEM Literacy (2018) (1)
- Cognitive Psychology and the Mathematics Laboratory. Papers from a Symposium. (1974) (1)
- Dealing with Complexity: New Paradigms for Research in Mathematics Education. (2000) (1)
- Learning Complexity : Agent-Based Modeling Supporting Education Research on Student Cognition in Social Contexts (2007) (1)
- LIFELONG INTERACTIONSData mining for educational "gold" (2009) (1)
- Complex Systems in Education: Conceptual Principles, Methodologies, and Implications for Research in the Learning Sciences (2006) (1)
- On My Mind: Scores and Grades: What Are the Problems? What Are the Alternatives?. (1996) (1)
- A Forum for Researchers: Recent Cooperative Research concerning the Acquisition of Spatial and Geometric Concepts (1977) (0)
- Technology Design as Educational Research: Interweaving Imagination, Inquiry, and Impact (2014) (0)
- Making a Difference with Attention to Content, Technology, and Scale: A Session Honoring the Memory of Jim Kaput (2006) (0)
- Assessment of Group and Individual Learning through Intelligent Visualization (AGILeViz) (2007) (0)
- edu NMI MODELS AND MODELING 11111111111 (2012) (0)
- New Ways of Using Models & Modeling Perspectives (MMP) for Research & Assessment Focused on Higher-Order Conceptual Understandings in the K-16 Mathematics Curriculum (2013) (0)
- What Does it Take to Understand Statistics Meaningfully (2009) (0)
- Book Reviews (1983) (0)
- Making productive contributions to policy and practice (2018) (0)
- Assessment of Group and Individual Learning through Intelligent Visualization Workshop (AGILeViz) AIED 2007 (2007) (0)
- Teacher Noticing of Students’ Thinking in the Context of Mathematical Modeling Activities Related to Statistics (2022) (0)
- Research Designs in Mathematics and Science Education: Continuing the Dialogue@@@Handbook of Research Design in Mathematics and Science Education (2000) (0)
- Exploring childrens mathematical reasoning when playing online mathematics games (2009) (0)
- A Brief Overview and Critique of Perspective II on Probabilistic and Statistical Reasoning (2014) (0)
- One Point of View: Problem Solving versus Applied Problem Solving (1981) (0)
- Beyond Efficiency: A Critical Perspective of Singapore’s Educational Reforms (2020) (0)
- Computer Simulations for whole number arithmetic (2006) (0)
- Special Session: Model Eliciting Activities: A Construct For Better Understanding Student Knowledge And Skills (2010) (0)
- Activity: Paper Airplane (MEA) (2008) (0)
- Development in Mathematical Modeling (2021) (0)
- Review of “ Beyond constructivism ” (2012) (0)
- In Memory of Jim Kaput (2006) (0)
- Introduction: Building on the vision of Jim Kaput (1942–2005) (2008) (0)
- Tacit Knowledge and Embodied Insight in Mathematical Modeling (2022) (0)
- Explorations in the modeling of the learning of mathematics (1979) (0)
- Pre-Service Mathematics Teachers’ Web of Knowledge Recalled for Mathematically Rich and Contextually Realistic Problems (2022) (0)

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