### Assessing the Structure of Knowledge in Teaching Mathematics

The ASKTM project (2016-2020, NSF EHR Core R&D, $1.7 million, PIs Jacobson, Bradshaw, Walkowiak) will investigate the structure of elementary teachers’ mathematical knowledge for teaching (MKT) as it is held by novice or experienced teachers, as it is learned in the context of teacher preparation and practice, and as it is used for instruction and to support student learning. The project team will develop a teacher knowledge assessment focused on fractions and decimals and subsequently examine the relationships between teacher knowledge, observed mathematics instruction, and student learning, through applications of recent advances in psychometric methods. The study aims to advance fundamental knowledge of the structure of MKT and thereby offer theoretical and pragmatic implications for the field of mathematics teacher education.

Learn more### Harnessing human perception and gesture to develop sharable expertise in algebra

This ongoning project (2016-2017, $73,000, PIs Jacobson, Landy) is funded by the Indiana University Collaborative Research Grant Program. The pilot work is the first step towards understanding how means of gaining algebraic expertise influence the ability to share this expertise with others, especially in embodied, enacted modalities including gestures.

Learn more### Decomposing and Rehearsing Explanations of Algorithms in Mathematics

The DREAM project (2014-2016, $20,000, PI Jacobson) was funded by the Proffitt Internal Grant Program at Indiana University. The major activities carried out during the grant period included (1) developing a psychometric instrument for measuring preservice elementary teachers’ knowledge and beliefs for teaching multidigit subtraction, (2) designing an interactive online environment for authoring storyboard explanations and to facilitate learning to use concrete materials to support explanations, (3) a descriptive interview study of preservice teachers learning during their methods class, and (4) an experimental study of an intervention that used the online authoring tool and included outcome data from the psychometric instrument.

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