Automated scoring of student language is a complex task that requires systems to emulate complex and multi-faceted human evaluation criteria. Summary scoring brings an additional layer of complexity to automated scoring because it involves two texts of differing lengths that must be compared. In this study, we present our approach to automate…

Many modern anatomy curricula teach histology using virtual microscopes, where students inspect tissue slices in a computer program (e.g. a web browser). However, the educational data mining (EDM) potential of these virtual microscopes remains under-utilized. In this paper, we use EDM techniques to investigate three research questions on a virtual…

This research was aimed at investigating L1 Thai learners' English word stress production in two aspects of English words -- 1) English words with different suffixes: suffixes affecting stress shift, i.e. '-ic' (e.g. 'fantástic'), '-ity' (e.g. 'idéntity') and '-tion / -sion' (e.g. 'eléction') and suffixes demanding stress, i.e. '-oon' (e.g.…

This study extends past research on students' understanding of slope by analyzing college students' mistakes on routine tasks involving slope. We conduct quantitative and qualitative analysis of students' mistakes to extract information regarding slope conceptualizations described in prior research. Results delineate procedural proficiencies and…

This study explored the potential of a rich assessment task to reveal students' multiplicative thinking in respect to a hypothetical learning trajectory. Thirty pairs of students in grades 5 and 6 attempted the task. Twenty-two pairs applied multiplicative structure to find the number of items in arrays. However counting and computational errors…

Effectively leading whole-class mathematics discussions is made more difficult when students' contributions are incomplete, imprecise, or not yet correct, and not easily correctable--what we call "errors." Through purposefully designed opportunities to investigate, enact, and reflect on teaching, teacher candidates (TCs) can develop…

Proving that a given set is indeed a subgroup, one needs to show that it is non-empty, and closed under operation and inverses. This study focuses on the first condition, analysing students' responses to this task. Results suggest that there are three distinct problematic responses: the total absence of proving this condition, the problematic…

That the quality of teachers' knowledge has direct impact on students' engagement and learning outcomes in mathematics is now well established. But questions about the nature of this knowledge and how to characterise that knowledge are important for mathematics educators. In the present study, we examine a strand of "Specialised Content…

Training methods naturally employed by trainers were analyzed and compared to systematic structured training procedures. Trainers were observed teaching retarded subjects how to assemble a bicycle brake, roller skate, carburetor, and lawn mower engine. Trainers first taught using their own (personal) method, which was recorded in terms of types of…