In this article, the author describes how to help develop students' conceptual understanding of fractions through the tactical card-based game Nearest to One. Nearest to One promotes number-sense based strategies for comparing fractions, such as benchmarking (e.g., Is the fraction greater or less than one-half?) and building to the next whole,…

The foundation of geometric knowledge and understanding starts in primary school, and in contemporary mathematics education there is an emphasis on identifying learning progressions and trajectories as a way of moving students forward. The van Hiele (1986) theory is well-documented and provides insights into the progression and differences of…

It is frequently surprising to new teachers (and even those with experience) when they find that not only do some children need to recount the group they have just counted to be assured of the total but also that this need seems to be resistant to intervention. Although moving from "counting-all" to "count-on" is sometimes…

In this article, Lorraine Jacob and Joanne Mulligan discuss how arrays can be used to promote students' early learning in relation to multiplication and division. They provide examples of activities that can be used from Foundation to Year 5.

Pupils progress through a relatively small number of key stages called growth points in numeracy learning. Identifies growth points in developing numeracy and suggests that better support can be offered to children when teachers are aware of the growth points. (ASK)

All teachers face the dilemma of trying to cater to the range of abilities of the children in their classes. Explains one teacher's attempt to accomplish this. (ASK)

Presents a project in which grade 1 children use diary writing as a link between home and school. Describes how they used problem solving and problem posing as part of normal classroom and home activities. (ASK)

Considers teaching strategies to help children overcome misconceptions and difficulties with the mathematical concept of angles. (ASK)

Reports on rich mathematical activities that integrate different mathematics strands and learning. Describes how to introduce the task and the classroom setting, set up the task, and continue the investigation. Presents student work samples. (ASK)

Presents two activities on addition, one for classifying and one for symmetry. (ASK)

Demonstrates how play can be the catalyst to undertake mathematics. Presents 15 activities on different mathematical subjects such as geometry. (ASK)

Helping children become mathematicians is a valuable way to engage them with the power of mathematics. Describes an example with primary children and distance education. (ASK)

Presents an activity that engages children in thinking about the results of combining numbers. (ASK)

Discusses how an alternative assessment approach using journaling can reveal so much more about a child's understanding of mathematics. (ASK)

Describes and analyzes a learning episode in which two children in year 4 interact with each other and their teacher while playing a probability game involving chocolate M&Ms. Children developed key ideas in probability from a game that was designed to produce cognitive conflict. (ASK)