Abstract
This paper focuses on the New Zealand Numeracy Projects (NZNP), an initiative aimed at reforming mathematics teaching and learning. Evidence shows that students benefited from NZNP, regardless of ethnicity, socio-economic status, gender, or age, but that differential performance and progress were evident for particular subgroups - Asian and European students, high socio-economic status (SES) students, boys, and older students began higher and made greater progress than students in other groups. Evidence suggests that the gaps between some groups (eg, high & low SES) may be narrowing, possibly because of the benefits for low SES schools of being involved in other initiatives. Effect sizes provided a measure of how practically meaningful the benefits of NZNP were. The average effect size for Multiplication/Division, Proportion/Ratio and Addition/Subtraction was 0.40, 0.43, and 0.19, respectively, comparing favourably with those found in the UK (0.17 & 0.18). In a related study, children?s perspectives on their mathematics learning were explored using individual interviews. Overall, children were more positive about the value of explaining their thinking to other people than about knowing the solution strategies used by their peers. Students at City School were particularly enthusiastic about the value of sharing their thinking with others than were those from other NZNP schools. Staff at City School indicated that for some time, they had been developing a collaborative approach to working with their students, encouraging them to discuss their thinking and reflect on their learning in all curriculum areas. The findings indicate that more emphasis needs to be given to the communication of thinking and reasoning in mathematics.