Kathleen (Kate) Melhuish
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  • Publications
    • Laying the groundwork: The grounding metaphors that build quotient groups
    • Humanizing Proof-based Mathematics Instruction Through Experiences Reading Rich Proofs and Mathematician Stories
    • Moving beyond show and tell in proof-based courses.
    • Whose experiences are we capturing? A critical reflection on classroom observation measures
    • Adapting the Proof of Lagrange's Theorem into a Sequence of Group-Work Tasks
    • Attending to Coherence Among Research Questions, Methods, and Claims in Coding Studies
    • Lessons Learned about Incorporating High-Leverage Teaching Practices in the Undergraduate Proof Classroom to Promote Authentic and Equitable Participation
    • Students' Techniques for Approaching Defining Properties of Functions
    • Using Extant Proofs in the Classroom: A Comprehension Activity Structure
    • Why ask why? An analysis of teachers’ why-questions in elementary and middle grade mathematics classrooms
    • Examining the concept of inverse: Theory-building via a standalone literature review
    • Reasoning productively across algebraic contexts: Students develop coordinated notions of inverse
    • Teaching routines and student-centered mathematics instruction: The essential role of conferring to understand student thinking and reasoning
    • The Role of the Partitioning and Coset Algorithm Quotient Group Partial Meanings in Comprehending the First Isomorphism Theorem and Its Proof
    • Can We Engage Students in Authentic Mathematical Activity While Embracing Critical Pedagogy? A Commentary on the Tensions between Disciplinary Activity and Critical Education
    • Collegiate mathematics teaching in proof-based courses: What we now know and what we have yet to learn
    • Comparing student proofs to explore a structural property in abstract algebra
    • Operationalizing authentic mathematical proof activity using disciplinary tools
    • The Efficacy of Research-Based 'Mathematics for All' Professional Development
    • Dual Measures of Mathematical Modeling for Engineering and Other STEM Undergraduates
    • Networking Frameworks: A Method for Analyzing the Complexities of Classroom Cultures Focusing on Justifying
    • Two replication studies of the relationships between mathematical knowledge for teaching, mathematical quality of instruction, and student achievement
    • Abstract algebra students’ evoked concept images for functions and homomorphisms
    • Building mathematics self-efficacy of STEM undergraduates through mathematical modelling.
    • Division Is Pretty Much Just Multiplication
    • Elementary School Teachers' Noticing of Essential Mathematical Reasoning Forms: Justification and Generalization
    • Group Theory Students' Perceptions of Binary Operation
    • Inquiry and Gender Inequity in the Undergraduate Mathematics Classroom
    • Leveraging Variation of Historical Number Systems to Build Understanding of the Base-Ten Place-Value System
    • The Group Theory Concept Assessment: A Tool for Measuring Conceptual Understanding in Introductory Group Theory
    • The Student Discourse Observation Tool: Supporting Teachers in Noticing Justifying and Generalizing
    • When Students Prove a Theorem without Explicitly Using a Necessary Condition: Digging into a Subtle Problem from Practice
    • Reframing Replication Studies as Studies of Generalizability: A Response to Critiques of the Nature and Necessity of Replication
    • Three Conceptual Replication Studies in Group Theory
    • Multiplication by 10 base-5: Making Sense of Place Value Structure Through an Alternate Base
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    • NSF: Developing and Validating Proof Comprehension Tests in Real Analysis (ReACT)
    • NSF: Generating a Research-Informed Transition to a Mathematical Proof Curriculum
    • NSF: Orchestrating Discussions Around Proof (ODAP)
    • NSF: STructuring Equitable Pariticipation in Undergraduate Proof (STEP UP)
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    • PROFILING PRODUCTIVE MATHEMATICAL TEACHING MOVES IN 4TH–8TH MATHEMATICS CLASSROOMS
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NSF: Developing and Validating Proof Comprehension Tests in Real Analysis (ReACT)

· 1 min read
NSF Award

The ReACT project involved developing and validating a series of eight proof comprehension tests for real analysis.

Proof Comprehension Real Analysis Item Response Theory
Kathleen (Kate) Melhuish
Authors
Kathleen (Kate) Melhuish
Mathematics Education Professor
NSF: Generating a Research-Informed Transition to a Mathematical Proof Curriculum Jan 1, 0001 →

© 2025 Kathleen Melhuish. This work is licensed under CC BY NC ND 4.0

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