Why Use Multiple Representations in the Mathematics Classroom? Views of English and German Preservice Teachers

Dealing with multiple representations and their connections plays a key role for learners to build up conceptual knowledge in the mathematics classroom. Hence, professional knowledge and views of mathematics teachers regarding the use of multiple representations certainly merit attention. In particular, investigating such views of preservice teachers affords identifying corresponding needs for teacher education. However, specific empirical research is scarce. Taking into account the possible role of culture, this study consequently focuses on views about using multiple representations held by more than 100 English and more than 200 German preservice teachers. The results indicate that there are culture-dependent aspects of preservice teachers’ views, but also that there are common needs for professional development.

     

Teaching the Pursuit of Assumptions

Within the school of thought known as Critical Thinking, identifying or finding missing assumptions is viewed as one of the principal thinking skills. Within the new subject in schools and colleges, usually called Critical Thinking, the skill of finding missing assumptions is similarly prominent, as it is in that subject's public examinations. In this article we examine how school‐ and college‐focused texts explain and teach ‘this very important skill’. The same texts also deal with the nature of assumptions, validity and the role of stated reasons in arguments, and the way these matters are tackled will also be examined in our inquiry. In addition we explore what respected contributors to the critical thinking movement have had to say about some of these issues.     

The Development and Evaluation of the Intersectional Privilege Screening Inventory for Use With Counselors-in-Training

As counselor preparation programs are compelled to demonstrate student social and cultural competence, valid inventories are needed to measure development consistent with contemporary standards. The Intersectional Privilege Screening Inventory was created for this purpose, was assessed using 4 types of validity evidence, and has results supporting its use in student development.     

The Structure of Ill-Structured (and Well-Structured) Problems Revisited

Educational Psychology Review - In his 1973 article The Structure of ill structured problems, Herbert Simon proposed that solving ill-structured problems could be modeled within the same...     

‘Operating on a Basis of Student Consent’: Peter Medway’s Work in Finding a Language

Written nearly 40 years ago, Peter Medway’s Finding a Language continues to be an arresting read, which offers a powerful vision of what might be possible in education. In this brief introduction, I set the work in context, referring to ideas that Pete engaged with and recalling a little of the times.