We administered specially-designed, free-response mathematics tasks to primary students (N = 583, ages five to 12 years old). Our focus was on whether (i) the children's responses could be reliably assessed, and (ii) the responses could provide insights into children's mathematical thinking. We used a contemporary comparative judgement technique,…

A robust understanding of place value is essential. Using a problem-based approach set within meaningful contexts, students' attention may be drawn to the multiplicative structure of place value. By using quotitive division problems through a concrete-representational-abstract lesson structure, this study showed a powerful strengthening of Year 3…

A key aspect of young children's development of algebraic reasoning is the process of visualising and identifying structures to both abstract and generalise. There has been a growing body of research focused on how students form generalisations, this article adds to the existing body of research by examining how young culturally diverse students…

Teaching in ways responsive to the cultures of our students is vital towards enhancing equity of access to mathematics achievement and putting educational policy into practice. New Zealand has the largest group of Pasifika people in the Western world, a multi-ethnic group of indigenous people from Pacific Island nations who have differing cultural…

This paper reports on exploratory research into visual imagery in the learning of early mathematics. It aims to present a theoretical position in relation to perceptual perspectives of visual imagery. Students' visual imagery is explored in one example of a teacher's use of a protocol to encourage students to replicate dot patterns. This example…

As a facilitator of the Incredible Years for Teachers Programme (IYT), I have found that the classroom management strategies participant teachers learned during the 6-month programme period have not been embedded and sustained in their use through time. This inquiry investigated the benefits and barriers to IYT being spontaneously, consistently…

A New Zealand (NZ) version of Word Identification Fluency (NZWIF) was administered to 120 children in their second school year at the beginning, middle, and end of the year, along with a curriculum-based measure of oral passage reading fluency at mid- and end-year. Outcome measures included standardized and high-stakes school-used indicators of…

Findings are presented from a two-year longitudinal study involving the "Quick60 Foundation" programme for beginning readers. This programme is a 32 week whole-class literacy curriculum that systematically and explicitly teaches key early literacy skills. End of Year 2 literacy performances of students receiving this programme during…

This longitudinal quantitative study compared literacy achievement of students from second through sixth grade based on two organizational systems: graded (traditional) and nongraded (multiage) classrooms. The California Standards Test (CST) scaled and proficiency scores for English-Language Arts (ELA) were used as the study's independent variable…

The objective of this study was to investigate the effects of age group, walking speed, and body composition on the accuracy of pedometer-determined step counts in children. Eighty-five participants (43 boys, 42 girls), ages 5-7 and 9-11 years, walked on a treadmill for two-minute bouts at speeds of 42, 66, and 90 m[middle dot]min[superscript -1]…