Enhancing conceptual understanding of variables with videos

Beschreibung

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.

Der Autor

Stefan Korntreff wrote his dissertation while working as a research assistant in the research group of Prof. Dr. Susanne Prediger at the Institute for Development and Research in Mathematics Education (IEEM) at TU Dortmund University.

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.

Autor*in

Stefan Korntreff

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conceptual understanding variables algebraic expressions algebra ICAP cognitive engagement conceptual focus instructional videos interactive features design research scaffolding analysis conjecture maps randomized controlled trial

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