In conversation, "uptake" happens when a speaker builds on the contribution of their interlocutor by, for example, acknowledging, repeating or reformulating what they have said. In education, teachers' uptake of student contributions has been linked to higher student achievement. Yet measuring and improving teachers' uptake at scale is…

The current study examined the effects of grade level and object size on the ability to estimate the measurement of objects. Fifth- (n = 198) and sixth-grade (n = 208) students and freshman undergraduate students (n = 71) from Taipei city, Taiwan, participated in the study. The findings indicated a tendency for measurement estimation ability to…

Developmentally appropriate curriculum is a component for quality early childhood care and education. This study was conducted in Debre Markos town, East Gojjam Zone, Ethiopia. The study aimed to evaluate if the textbooks implemented by private preschools are developmentally appropriate or not. Qualitative case study approach was employed and…

We calculate the number of subgroups in a direct product of finite cyclic groups by applying the fundamental theorem of finite abelian groups and a well-known structure theorem due to Goursat. We also suggest ways in which the results can be generalized to a direct product of arbitrary finite groups.

The aim of this article is to present a scheme for coding and categorizing students' written explanations of mathematical problem-solving activities. The scheme was used successfully within a study project carried out to determine whether student problem-solving behaviour could be positively affected by writing explanatory strategies to…

Explores young children's intuitive strategies for partitioning sets of objects. (Author/NB)

Explores students' abilities in mental computation, finds out the strategies they use most naturally, and develops a theoretical framework by giving 60 children a questionnaire and interviewing them on a series of arithmetic operations to be solved by mental computation. Generates a classification of children's strategies. Contains 31 references.…

Provides instructions and worksheets for activities on: (1) sorting sets (grades K-one); (2) telling place values of two-/three-digit numbers (grades two-four); (3) recognizing multiplication/division facts (grades four-six); and (4) computing problems that contain multiples of 10, place value problems, and subtraction problems with many zeros…

This article defines "higher level mathematical skills" and details an important class: that of "constructing instances" of mathematical objects satisfying certain properties. Comment is made on the frequency of higher level tasks in undergraduate work. We explain how such questions may be assessed "in practice" without the imposition on staff of…