The Use of Mathematics Taxonomy in Developing Statistical Learning Outcomes for Grade 12 Learners

Investigating the strength of alignment between Senior Phase mathematics content standards and workbook activities on number patterns

“…In addition, 'routine procedures' are described as questions that need simple applications and steps (DBE, 2011). Kalobo and Du Toit (2015) highlight that 'complex procedures' involve unfamiliar problems or abstract problems that do not have a direct route to the solution, while 'problem solving' refers to unseen problems that require a higher level of cognitive skills and reasoning to solve problems. Cognitive levels were used in this study to code SPMCS and workbook activities on NGP in terms of their depth of understanding.…”

“…Moreover, the patterns in context that were found in the workbook for Grade 7 were labelled as problem solving by DBE whereas they, in fact, fell under knowledge and routine procedures. This is highlighted since problem solving require high levels of cognitive skills and reasoning to solve the problem (DBE, 2011;Kalobo & Toit, 2015). An example of such a pattern in context is extracted from the Grade 7 workbook:…”

“…The rigour applied in the generalisation of algebraic and geometric patterns in the NGP workbook activities was only based on obvious common difference and position of a term and missing the abstract nature of complex procedures. Kalobo and Du Toit (2015) point out that complex procedures use abstract and unfamiliar problems.…”