All qualifications and part qualifications registered on the National Qualifications Framework are public property. Thus the only payment that can be made for them is for service and reproduction. It is illegal to sell this material for profit. If the material is reproduced or quoted, the South African Qualifications Authority (SAQA) should be acknowledged as the source. |
SOUTH AFRICAN QUALIFICATIONS AUTHORITY |
REGISTERED UNIT STANDARD THAT HAS PASSED THE END DATE: |
Facilitate Mathematics at ABET levels 3 and 4 |
SAQA US ID | UNIT STANDARD TITLE | |||
10298 | Facilitate Mathematics at ABET levels 3 and 4 | |||
ORIGINATOR | ||||
SGB ABET Educators | ||||
PRIMARY OR DELEGATED QUALITY ASSURANCE FUNCTIONARY | ||||
- | ||||
FIELD | SUBFIELD | |||
Field 05 - Education, Training and Development | Adult Learning | |||
ABET BAND | UNIT STANDARD TYPE | PRE-2009 NQF LEVEL | NQF LEVEL | CREDITS |
Undefined | Regular | Level 5 | Level TBA: Pre-2009 was L5 | 20 |
REGISTRATION STATUS | REGISTRATION START DATE | REGISTRATION END DATE | SAQA DECISION NUMBER | |
Passed the End Date - Status was "Reregistered" |
2018-07-01 | 2023-06-30 | SAQA 06120/18 | |
LAST DATE FOR ENROLMENT | LAST DATE FOR ACHIEVEMENT | |||
2026-06-30 | 2029-06-30 |
In all of the tables in this document, both the pre-2009 NQF Level and the NQF Level is shown. In the text (purpose statements, qualification rules, etc), any references to NQF Levels are to the pre-2009 levels unless specifically stated otherwise. |
This unit standard does not replace any other unit standard and is not replaced by any other unit standard. |
PURPOSE OF THE UNIT STANDARD |
Persons credited with this unit standard are able to facilitate mathematics learning at ABET levels 3 and 4 by selecting and implementing appropriate learning and teaching strategies and applying principles of outcomes-based education. |
LEARNING ASSUMED TO BE IN PLACE AND RECOGNITION OF PRIOR LEARNING |
Specific Outcomes and Assessment Criteria: |
SPECIFIC OUTCOME 1 |
Demonstrate subject knowledge for Mathematics at ABET levels 3 and 4 |
OUTCOME NOTES |
Mathematics specialists consulted felt that an opportunity should be provided for candidates to develop their own relevant mathematical knowledge while acquiring methodology skills. Assessment criteria relating to the understanding of geometry can be finalised only once the unit standards for ABET Level 4 MMLMS are finalised. |
ASSESSMENT CRITERIA |
ASSESSMENT CRITERION 1 |
1. Commonly used personal methods of calculation with negative numbers are identified and put in writing, using words and mathematical signs and conventions. |
ASSESSMENT CRITERION 2 |
2. Functional relationships in daily life are identified, modelled algebraically and graphically, and analysed numerically. |
ASSESSMENT CRITERION 3 |
3. Algebraic methods are logically explained in terms of numerical analysis. |
ASSESSMENT CRITERION 4 |
4. Measurements and measurement calculations are done on any scale in two and three dimensional contexts. |
ASSESSMENT CRITERION 5 |
5. Concepts and methods of data handling are explained and used to investigate a problem situation |
ASSESSMENT CRITERION 6 |
6. Concepts of probability are explained and used to investigate probability situations. |
ASSESSMENT CRITERION 7 |
7. Development of the use of letter symbols and algebra is described in terms of pivotal points in the history of calculation. |
ASSESSMENT CRITERION 8 |
8. History of the development of the negative and irrational number systems is explained. |
SPECIFIC OUTCOME 2 |
Apply the requirements of unit standards for mathematics learners at ABET levels 3 and 4 |
ASSESSMENT CRITERIA |
ASSESSMENT CRITERION 1 |
1. Knowledge and skills required of learners in terms of unit standards for mathematics at ABET levels 3 and 4 are described. |
ASSESSMENT CRITERION 2 |
2. Unit standards for mathematics at ABET levels 3 and 4 are used to plan and facilitate learning. |
ASSESSMENT CRITERION 3 |
3. Learners' performance can be described in relation to the ABET levels and outcomes. |
ASSESSMENT CRITERION 4 |
4. Core ABET practitioner unit standards are applied to the facilitation of mathematics at ABET Levels 3 and 4. |
SPECIFIC OUTCOME 3 |
Help learners to identify and develop own knowledge of mathematics |
ASSESSMENT CRITERIA |
ASSESSMENT CRITERION 1 |
1. View of mathematics as a human and social construct is explained. |
ASSESSMENT CRITERION 2 |
2. Principle of active construction of mathematical knowledge by learners and reflective discussion is explained and applied. |
ASSESSMENT CRITERION 3 |
3. Reflective discussion is encouraged and facilitated during the construction of mathematical knowledge. |
ASSESSMENT CRITERION 4 |
4. Learners are seated in such a way that they can all see and hear one another comfortably during reflective group discussions. |
SPECIFIC OUTCOME 4 |
Apply the concept of the common developmental path of math concepts and skills to teaching maths |
OUTCOME NOTES |
Apply the concept of the common developmental path of mathematical concepts and skills to teaching mathematics |
OUTCOME RANGE |
Mathematics concepts and skills as required by the ABET levels 3 and 4 unit standards (e.g. methods of calculation, number concept of integers, algebraic modelling, data handling, probability, spatial concepts and skills, measurement). Range and mix of problem types must also be as per requirements of the relevant unit standards. |
ASSESSMENT CRITERIA |
ASSESSMENT CRITERION 1 |
1. Common path of development of mathematics concepts and skills can be explained. |
ASSESSMENT CRITERION 2 |
2. Materials and learning programmes are analysed in terms of the structured development of mathematics concepts and skills. |
ASSESSMENT CRITERION 3 |
3. Development of each learner's mathematics concepts and skills is described with reference to her/his methods used to solve problems. |
SPECIFIC OUTCOME 5 |
Explain and use the rationale for problem-solving tasks in mathematics teaching |
ASSESSMENT CRITERIA |
ASSESSMENT CRITERION 1 |
1. Role of problem solving in mathematics learning to achieve learning outcomes is explained. |
ASSESSMENT CRITERION 2 |
2. Different problem types that involve generalisation of patterns, behaviour of input variables and output variables, gradients of functions and different ways to represent functions, are explained. |
ASSESSMENT CRITERION 3 |
3. Numeracy materials and learning programmes can be evaluated in terms of the range and mix of problem types. |
ASSESSMENT CRITERION 4 |
4. Problem-solving tasks in course materials can be analysed in terms of purpose and likely challenges/difficulties for learners |
SPECIFIC OUTCOME 6 |
Identify typical misconceptions of math concepts and their causes, and apply prevention strategies |
OUTCOME NOTES |
Identify typical misconceptions of mathematical concepts and their causes, and apply prevention strategies |
OUTCOME RANGE |
Misconceptions of whole number and fraction arithmetic, spatial concepts and probability concepts. |
ASSESSMENT CRITERIA |
ASSESSMENT CRITERION 1 |
1. Typical misconceptions are identified. |
ASSESSMENT CRITERION 2 |
2. Misconceptions are related to their causes. |
ASSESSMENT CRITERION 3 |
3. Strategies to remedy and prevent misconceptions are described, justified and applied. |
UNIT STANDARD DEVELOPMENTAL OUTCOME |
This unit standard also supports the development of the following DOs:
|
Critical Cross-field Outcomes (CCFO): |
UNIT STANDARD CCFO IDENTIFYING |
Identify and solve problems in which responses display that responsible decisions using critical and creative thinking have been made (CO1) |
UNIT STANDARD CCFO WORKING |
Work effectively with others as a member of a team, group, organisation and community (CO2) |
UNIT STANDARD CCFO ORGANISING |
Organise and manage oneself and one?s activities responsibly and effectively (CO3) |
UNIT STANDARD CCFO COLLECTING |
Collect, analyse, organise and critically evaluate information (CO4) |
UNIT STANDARD CCFO COMMUNICATING |
Communicate effectively using visual, mathematical and/or language skills in the modes of oral and/or written presentation (CO5) |
UNIT STANDARD CCFO SCIENCE |
Use science and technology effectively and critically, showing responsibility towards the environment and health of others (CO6) |
UNIT STANDARD CCFO DEMONSTRATING |
Demonstrate an understanding of the world as a set of related systems by recognising that problem-solving contexts do not exist in isolation (CO7) |
REREGISTRATION HISTORY |
As per the SAQA Board decision/s at that time, this unit standard was Reregistered in 2012; 2015. |
QUALIFICATIONS UTILISING THIS UNIT STANDARD: |
ID | QUALIFICATION TITLE | PRE-2009 NQF LEVEL | NQF LEVEL | STATUS | END DATE | PRIMARY OR DELEGATED QA FUNCTIONARY | |
Elective | 20159 | National Diploma: ABET Practice | Level 5 | NQF Level 05 | Passed the End Date - Status was "Reregistered" |
2020-07-30 | ETDP SETA |
Elective | 49277 | National Diploma: Braille Practice | Level 5 | NQF Level 05 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | ETDP SETA |
Elective | 20483 | National Higher Certificate: ABET Practice | Level 5 | NQF Level 05 | Passed the End Date - Status was "Reregistered" |
2023-06-30 | ETDP SETA |
PROVIDERS CURRENTLY ACCREDITED TO OFFER THIS UNIT STANDARD: |
This information shows the current accreditations (i.e. those not past their accreditation end dates), and is the most complete record available to SAQA as of today. Some Primary or Delegated Quality Assurance Functionaries have a lag in their recording systems for provider accreditation, in turn leading to a lag in notifying SAQA of all the providers that they have accredited to offer qualifications and unit standards, as well as any extensions to accreditation end dates. The relevant Primary or Delegated Quality Assurance Functionary should be notified if a record appears to be missing from here. |
1. | African Learing and Development Academy for Adults ALDAA |
2. | African Learning & Development Academy (Pty) Ltd (ALDA) |
3. | Amaqamu Project Management and Consulting |
4. | B T Group of Companies Pty Ltd |
5. | CURMO Designs (Pty) Ltd Co |
6. | Guru Group of Learning (Pty) Ltd |
7. | Hlengana Sibiya Training and Associates cc |
8. | HOPE ACADEMIC AND SKILL CENTRE |
9. | Igugu Training and Investments |
10. | INKWENKWEZI PRIVATE COLLEGE - SKILLS DEVELOPMENT cc |
11. | KITSO TRAINING AND DEVELOPMENT |
12. | M Power Learning and Development |
13. | Ntevho-Ketso Training and Recruitement Consultancy cc |
14. | NTI College |
15. | OPELONG BUSINESS INSTITUTE (PT |
16. | Professional Development and Training Institute (Pty) Ltd |
17. | Project Literacy |
18. | Reflections Development Institute |
19. | Regenesys Management (Pty) Ltd |
20. | Resonance Institute of Learning |
21. | Retshetse Training Project |
22. | SEOPOSENGOE TRAINING CONSULTANCY CC |
23. | T Mabuya & Associates (Pty) Ltd |
24. | The Finishing College (Pty) Lt |
25. | Thembekile training consulting |
26. | Thuto-Botshabelo Training and Projects (Pty) Ltd |
27. | Ulwazi Training & Development |
28. | Ungaphelamandla Consultancy Private College (PTY) LTD |
All qualifications and part qualifications registered on the National Qualifications Framework are public property. Thus the only payment that can be made for them is for service and reproduction. It is illegal to sell this material for profit. If the material is reproduced or quoted, the South African Qualifications Authority (SAQA) should be acknowledged as the source. |