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This document outlines the recent changes in the CAPS implementation for Senior Phase and FET Mathematics content areas, focusing on learning outcomes and assessment methods. Key updates include the introduction of histograms with unequal intervals, the emphasis on proof of theorems (excluding converses), and the re-evaluation of certain Grade 10 trig topics. Motivations for these changes stem from university requirements, teacher feedback, and efforts to alleviate curriculum overload, as well as a global perspective on math education trends.
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MATHEMATICS CAPS SENIOR PHASE&FET
Content Areas(Senior Phase) Learning Outcomes = Content Areas
Content Changes (cont’d) (FET Phase) • New : Histograms with unequal intervals • Re-introduced: • Proof of theorems (no proof of converses) • Grade 10 – Trig reciprocals to be examined only in Gr.10)
FET : Motivation for Changes • Universities call for the return of Euclidean Geometry. • Teachers and other stakeholders at Marang and other discussion forums indicated their support for the inclusion of Paper 3 topics. • Concern about curriculum overload prompted a search for topics to remove. • Apart from the rotation of a point through any angle, it was felt that the formalisation of the rules for transformation geometry can be handled in Grade 9. • Internationally, linear programming (unlike probability) is not a topic that features in the majority of Grade 12 curricula. • (Alison Kitto)
Cognitive Levels & % Assessment 65% 35%
Teacher Readiness… • Understanding conceptual development • Teaching problem solving skills • Content : e.g. Geometric thought…progress as a result of experience almost entirely dependent on instruction • CAPS lean to Abstraction & Formal Deduction
Developing Higher Cognitive Functions • Concrete introductions – conceptual understanding • Algorithmic knowledge • Traditional textbook problems • Context Rich Problems (authentic) • Critical thinking + (Proportional reasoning)
Problem Solving & the Use of Heuristics • Recognize problem & components • Strategy to obtain a solution path • Initial representation which may be concrete or abstract • Qualitative representation which provides an outline of the solution procedure • A mathematical representation which corresponds to the written solution of the problem
Changing Instructional Practice • General Technique Observed in SA Schools • Assessment: • Learn the theorems well (off by heart) • Leave the riders for last • Try to do them if time allows • Teaching: • Learn the theorems well (off by heart) • Do perhaps two riders per theorem in class • Give many riders to solve at home
Quality Curriculum ? • We know this : • HESA & UMALUSI • Independently • UK NARIC Report • … comparisons between the AS level are at their strongest when the reference is made to candidates completing all 3 Mathematics papers • In addition…the content of the 3 Mathematics papers plus the Advanced Programme Mathematics is more broadly in line with the requirements of the GCE A level