Sample, Random and Variation: The Vocabulary of Statistical Literacy

This paper considers the development of school students’ ability to define three terms that are fundamental to statistical literacy: sample, random, and variation. A total of 738 students in grades 3, 5, 7, and 9 were asked in a survey to define and give an example for the word “sample.” Of these, 379 students in grades 7 and 9 were also asked about the words “random” and “variation.” Responses were used to describe developmental levels overall and to document differences across grades on the understanding of these terms. Changes in performance were also monitored after lessons on chance and data, emphasizing variation for 335 students. After 2 years, 132 of these students and a further 209 students who were surveyed originally but did not take part in specialized lessons, were surveyed again. The difference after 2 years between the performance of students who experienced the specialized lessons and those who did not was considered, revealing no differences in performance longitudinally. For students in grades 7 and 9, the association of performance on the three terms was explored. Implications for mathematics and literacy educators are discussed.     

Assessment of Students’ Understanding of Variation

Several tasks used in research studies are presented with assessment rubrics and examples of the development of student understanding. The tasks focus on students’ appreciation of variation in several contexts and illustrate the need to discuss variation in the classroom and to ask students specifically about it during assessment.     

Partnering with Districts to Expand an After-School Maths Club Programme

Abstract

A key intervention of the South African Numeracy Chair Project (SANCP) since 2011 has been the introduction of mathematics (or maths) clubs, which occur in the out-of-school time space. In 2016 the maths club concept was developed into a 15-week Pushing for Progression (PfP) teacher development programme which supports primary school mathematics teachers to run clubs beyond the SANCP local area. Expanding intervention models beyond local schools is imperative in the second phase of the SANCP (2016–2020). Working from a mixed methods methodological approach, the researchers collected pre- and post-data for a 4-operations assessment of the entire PfP programme. In this article they share learner data from one of the nine teachers who participated in the PfP maths club programme in the Uitenhague District, Eastern Cape, South Africa, to illuminate how partnerships between academics, district officials and teachers can enable powerful student learning in the club space. They argue further that within the tightly focused development programme run by teachers in this one district, it is possible for learners to make substantive progress in mathematical proficiency (MP) (especially procedural fluency and conceptual understanding) when comparing scores and learner methods between a pre- and post- assessment.     

Development and Evaluation of Turkish Language Versions of three Positive Psychology Assessments

This study reports the development and evaluation of a Turkish-language version of three positive psychology assessments for use in clinical, education and research settings with Turkish-speaking individuals. A multistage translation of the Brief Resilience Scale (BRS; Smith et al. in International Journal of Behavioral Medicine, 15, 194–200, 2008), the General Mattering Scale (GMS; Marcus 1991) and the Short Grit Scale (GS; Duckworth & Quinn in Journal of Personality Assessment, 91, 166–174. doi:10.1080/00223890802634290, 2009) is detailed, as well as the procedure used to evaluate the internal structure of the translated assessments. The results yielded from data of 268 participants indicated factor structures ranging from acceptable to robust model fit for the BRS, GMS, and GS. Implications for counseling practice and future research are discussed.