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Enhancing Conceptual Understanding of Variables with Videos: Design Research and Controlled Trial Considering Engagement and Conceptual Focus

Enhancing Conceptual Understanding of Variables with Videos: Design Research and Controlled Trial Considering Engagement and Conceptual Focus

Paperback

Series: Dortmunder Beiträge Zur Entwicklung Und Erforschung Des Math, Book 60

AlgebraTeaching Instruction

ISBN10: 3658499710
ISBN13: 9783658499716
Publisher: Springer Spektrum
Published: Jan 3 2026
Pages: 353
Weight: 0.98
Height: 0.83 Width: 5.83 Depth: 8.27
Language: English
One of the most difficult instructional challenges in secondary mathematics education is enhancing low-achieving students' understanding of variables. Although instructional videos have the potential to promote students' understanding, their effectiveness depends on empirically grounded, content-related designs that secure students' conceptual focus and cognitive engagement. This book addresses this issue using a sequential mixed-methods approach that combines a design research study and a controlled trial. An instructional design using interactive videos during the knowledge organization phase, after students' independent explorations, was developed and investigated. The qualitative analyses of students' learning processes with the videos empirically substantiate the iterative redesign and allow generating hypotheses about effective scaffolding for cognitive engagement and conceptual focus through interactive features. The subsequent randomized controlled trial shows the efficacy of the two-phase instructional approach and validates the hypotheses for students who were cognitively engaged while working with the video.

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Teaching Instruction