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Fun and easy to use math games designed for children ages 3 to 6-years-old. Some games are quick and use everyday materials; others use a game board for more extended play. All of the games can be played multiple times and…
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In this collection of materials, four geometric topics are covered in animated, digital materials. There are also paper-based materials for the four geometric topics: Angles, Transformations, Pythagorean Theorem, and…
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Instructional modules that bring sustainability topics into classrooms in a way that emphasizes the methods and tools of mathematics and computing and illustrates their role in planning for sustainability. Through the…
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High school physics lessons designed to empower teachers, create cultural change, and inspire young women to pursue physics in college. The lessons build a counternarrative in the classroom, dismantling the commonly-held…
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What can you infer from this example? and Who is Right? are two modules that address issues of mathematical content knowledge and pedagogical content knowledge for teaching reasoning and proving.Each module intends to help…
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The Advancing Reasoning Covariationally (ARC) curriculum is a curriculum for working pre-service and in-service teachers. ARC targets and develops quantitative and covariational reasoning as connecting threads to major…
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Learning experiences that spur student curiosity, captivate students with complex mathematical content, and compel students to engage and persevere (referred to as “mathematically captivating learning experiences” or “…
Promoting Teacher Self-Efficacy for Supporting English Learners in Mathematics: Effects of the Visual Access to Mathematics Professional Development
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The Visual Access to Mathematics (VAM) project developed and studied teacher professional development (PD) focused on linguistically-responsive teaching to facilitate ELs’ mathematical problem solving and discourse. This…
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This study explored the verb clauses and thematic development evident in curriculum materials and in transcripts of teachers planning lessons using the materials.
The study explored the verb clauses and…
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This presntation addreses 4 research cquestions
•What extant criteria do Grade 8 students use to choose the better line
of fit between two lines “fit” to a set of data, when both lines express
the trend of the data…
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Students’ difficulties with contrapositive reasoning are well documented. Lack of intuition about contrapositive reasoning and lack of a meta-argument for the logical equivalence between a conditional claim and its…
Eliminating Counterexamples: A Case Study Intervention for Improving Adolescents’ Ability to Critique Direct Arguments
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Students’ difficulties with argumentation, proving, and the role of counterexamples in proving are well documented. Students in this study experienced an intervention for improving their argumentation and proving…
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Several recent studies have focused on helping students understand the limitations of empirical arguments (e.g., Stylianides, G. J. & Stylianides, A. J., 2009, Brown, 2014). One view is that students use empirical…
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This book aims to advance ongoing debates in the field of mathematics and mathematics education regarding conceptions of argumentation, justification, and proof and the consequences for research and practice when applying…
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This is a technical report detailing the methods and findings for each of the research studies in the LLAMA project.
Mathematics
Achievement
Learning…
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Research suggests that if students use viable argumentation in their middle school classes, then they will increase their complex mathematical reasoning and mathematics achievement. This is a 2-page infographic…
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The research team developed the Student Argument and Reasoning Assessment (SARA) to measure students’ abilities to construct viable arguments and critique others’ arguments. The SARA was originally developed and validated…
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The Classroom Argumentation Observation Protocol developed in LAMP measures teachers’ pedagogical practices in terms of teachers providing opportunities for students to engage in the mathematics learning experiences…
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This paper puts forth a detailed conceptual framework for K-12 integrated STEM education that can be used by researchers, educators, and curriculum developers as a common vision
Given the large…
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In this article, we describe the case of “Keri,” a fifth-grade teacher who had completed an Elementary Mathematics Specialist (EMS) certification program. Drawn from a larger study investigating the knowledge, beliefs, and…
Mathematical and Scientific Argumentation in PreK-12: A Cross-Disciplinary Synthesis of Recent DRK-12 Projects
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This review synthesizes insights from 23 NSF-funded projects, totaling $40 million, that studied mathematical and scientific argumentation in STEM education from prekindergarten (PreK) to Grade 12. The projects reported on…
Teachers’ Pedagogical Content Knowledge in Mathematics and Science A Cross-Disciplinary Synthesis of Recent DRK-12 Projects
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This review synthesized insights from 27 NSF-funded projects, totaling $62 million, that studied pedagogical content knowledge (PCK) in STEM education from prekindergarten (PreK) to Grade 12, split roughly equally across…
Secondary Mathematics Teachers’ Use of Students’ Incorrect Answers in Supporting Collective Argumentation
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This study illustrates how two secondary mathematics teachers used students’ incorrect answers as they supported students’ engagement in collective argumentation.
This study illustrates how two…
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The give-n task is widely used in developmental psychology to indicate young children’s knowledge or use of the cardinality principle (CP): the last number word used in the counting process indicates the total number of…
Second and Fifth Graders’ Use of Knowledge-Pieces and Knowledge-Structures When Solving Integer Addition Problems
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In this study, we explored second and fifth graders’ noticing of negative signs and incorporation of them into their strategies when solving integer addition problems. For both grade levels, the order of the numerals, the…