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A Student Asks About (-5)! A first-year algebra student’s curiosity about factorials of negative numbers became a starting point for an extended discovery lesson into territory not usually…
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Thinking Scientifically in a Changing World Shifting people’s judgments toward the scientific involves teaching them to purposefully evaluate connections between evidence and alternative…
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Linear Algebra and Geometry Linear Algebra and Geometry is organized around carefully sequenced problems that help students build both the tools and the habits that provide a solid basis for…
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Growth in children’s understanding of generalizing and representing mathematical structure and relationships We share here results from a quasi-experimental study that examines growth in…
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Eliminating Counterexamples: A Case Study Intervention for Improving Adolescents’ Ability to Critique Direct Arguments Students’ difficulties with argumentation, proving, and the role of…
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Teaching Practices for Differentiating Mathematics Instruction for Middle School Students Three iterative, 18-episode design experiments were conducted after school with groups of 6–9 middle…
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LEAP Early Algebra Curriculum The LEAP program is the first early algebra curriculum for students in grades 3-5. The program includes 18-20 one-hour lessons at each grade level and teacher…
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Backward Transfer Effects on Action and Process Views of Functions Presentation slides from the 41st annual meeting of the North American Chapter of the International Group for the Psychology…
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Backward Transfer Effects when Learning about Quadratic Functions Presentation slides from the 42nd Conference of the International Group for the Psychology of Mathematics Education. Hohensee…
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Tiering Instruction for Middle School Students Differentiating instruction (DI) is a pedagogical approach to managing classroom diversity in which teachers proactively adapt curricula,…
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“Approximate” Multiplicative Relationships between Quantitative Unknowns Three 18-session design experiments were conducted, each with 6–9 7th and 8th grade students, to investigate…
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Does Early Algebra Matter? The Effectiveness of an Early Algebra Intervention in Grades 3 to 5 A cluster randomized trial design was used to examine the effectiveness of a Grades 3 to 5 early…
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The Role of Balance Scales in Supporting Productive Thinking about Equations Among Diverse Learners This research focuses on ways in which balance scales mediate students’ relational…
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Teaching Early Algebra through Example-based Problem Solving: Insights from Chinese and U.S. Elementary Classrooms Drawing on rich classroom observations of educators teaching in China and the…
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Understanding of the Properties of Operations: A Cross-Cultural Analysis This study examines how sampled Chinese and U.S. third and fourth grade students (NChina=167,NUS=97) understand the…
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Cognitive Instructional Principles in Elementary Mathematics Classrooms: A Case of Teaching Inverse Relations Instructional principles gleaned from cognitive science play a critical role in…
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Backward Transfer Influences from Quadratic Functions Instruction on Students’ Prior Ways of Covariational Reasoning about Linear Functions The study reported in this article examined the ways…
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Math Pathways & Pitfalls Algebra Readiness: Lessons and Teaching Guide, Grades 7–8 The Math Pathways & Pitfalls Algebra Readiness mathematics intervention is intended to help students…
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Advancing Reasoning Covariationally (ARC) Curriculum The Advancing Reasoning Covariationally (ARC) curriculum is a curriculum for working pre-service and in-service teachers. ARC targets and…
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NCTM Presentation Line of "Good" Fit in Grade 8 Classrooms NCTM 2018 Modeling Presentation 4.15.18.pdf
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Eliminating counterexamples: An intervention for improving adolescents’ contrapositive reasoning Students’ difficulties with contrapositive reasoning are well documented. Lack of intuition…
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Eliminating counterexamples: A case study intervention for improving adolescents’ ability to critique direct arguments Students’ difficulties with argumentation, proving, and the role of…
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Domain appropriateness and skepticism in viable argumentation https://pmena2020.cinvestav.mx/Program-Proceedings/Proceedings
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Conceptions and Consequences of Mathematical Argumentation, Justification, and Proof This book aims to advance ongoing debates in the field of mathematics and mathematics education regarding…
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Perspectives on Algebra I Tutoring Experiences With Students With Learning Disabilities The researchers conducted a qualitative analysis of the perceptions of school personnel and pre-service…
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ReLaTe-SA: An Effort to Understand Teachers’ Reasoning Language in Algebra The purpose of the Reasoning Language for Teaching Secondary Algebra (ReLaTe-SA) project is to understand teachers'…
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Extractive and Inferential Discourses for Equation Solving We investigate the algebraic discourse of secondary mathematics teachers with respect to the topic of equation solving by analyzing…
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Impact of the Design of an Asynchronous Video-Based Learning Environment on Teacher Noticing and Mathematical Knowledge In this paper, we share the design and impact of a set of two-hour…
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Developing Algebra-ready students for Middle School: Exploring the Impact of Early Algebra (Blanton, Knuth) BLANTON Algebra_DRK-12_poster_2009.ppt
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Intensified Algebra I--poster http://cadrek12.org/sites/default/files/An%20architecture%20of%20intensificatio…
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Teaching Mathematics, Teaching Students, Teaching Mathematics to Students (Thompson, Miller) http://cadrek12.org/sites/default/files/THOMPSON%202009-11%20NSF%20DRk-12.pdf…
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What is Algebra? Cross-Curricular Textbook Analyses http://cadrek12.org/sites/default/files/Poster%20-%20NSF%20PI%20Mtg%202010%20%2…
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Pre-Service Teachers' Knowledge for Teaching Algebra for Equity in the Middle Grades: A Preliminary Report http://www.eric.ed.gov/ERICWebPortal/search/detailmini.jsp?_nfpb=true…
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SmartGraphs: Algebra The Concord Consortium has developed 19 activities for teaching and learning algebra that are available online or as an app for iPad or Android tablet computers. These…
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Illuminating Coordinate Geometry with Algebraic Symmetry A symmetric polynomial is a polynomial in one or more variables in which swapping any pair of variables leaves the polynomial unchanged…
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Constructing and Role-Playing Student Avatars in a Simulation of Teaching Algebra for Diverse Learners From the perspectives of Graduate Research Assistants (GRAs), this study examines the…