Learning Pathways within the Multiplicative Conceptual Field
Insights Reflected through a Rasch Measurement Framework
2015, Empirische Studien zur Didaktik der Mathematik, Band 24, 248 pages, paperback, 39,90 €, ISBN 978-3-8309-3289-5
Application of the Rasch model configures the location of both item difficulty and learner proficiency on one scale. Diagnostics explore the validity of the instrument for measurement. The ordering of items enables the analysis of hierarchical conceptual strands and additional insights into the mastery of concepts by subsets of learners at particular levels. The resulting matrix, of interactions of learner proficiency and item complexity, provides an overview of the concepts attained and not yet mastered. These insights permit teacher interventions specific to each learner subset at a shared common current zone of proximal development along the scale.