Teaching Foundation Phase Mathematics: A Guide for South African Students and Teachers
Teaching Foundation Phase Mathematics is a book that provides a comprehensive and practical introduction to the teaching and learning of mathematics in the foundation phase of education. The book covers topics such as number sense, operations, patterns, measurement, geometry, data handling, problem solving, and assessment. The book also offers guidance on how to integrate mathematics with other subjects, how to use resources and technology effectively, and how to address diverse learner needs and challenges. The book is written by Mariana NaudÃ, Corinne Meier, and Linda Bosman, who are experienced mathematics educators and researchers at various South African universities. The book is based on the latest curriculum and policy documents, as well as current research and best practices in mathematics education. The book is aimed at students and teachers who want to develop their mathematical knowledge, skills, and confidence in teaching mathematics in the foundation phase.
The book is available for download as a PDF file from various online sources[^1^] [^3^]. Alternatively, you can purchase a hard copy from Van Schaik Publishers[^1^] or other bookstores.The book is divided into 11 chapters, each focusing on a different aspect of teaching and learning mathematics in the foundation phase. The chapters are as follows:
Mathematics in the foundation phase: An introduction. This chapter provides an overview of the nature and purpose of mathematics, the curriculum and policy framework, and the principles and practices of teaching mathematics in the foundation phase.
Number sense. This chapter explores the concept of number sense, which is the ability to understand and use numbers flexibly and meaningfully. The chapter discusses how to develop number sense in learners through various activities and strategies involving counting, comparing, ordering, estimating, and calculating.
Operations. This chapter examines the four basic operations of addition, subtraction, multiplication, and division, and how they relate to each other. The chapter explains how to teach learners to perform operations mentally, with concrete materials, and with written methods. The chapter also addresses common misconceptions and errors that learners may have when doing operations.
Patterns. This chapter investigates the concept of patterns, which is the recognition and creation of regularities and relationships in mathematics. The chapter shows how to teach learners to identify, extend, create, and describe patterns using various objects, symbols, sounds, and movements. The chapter also highlights the connections between patterns and algebraic thinking.
Measurement. This chapter explores the concept of measurement, which is the process of assigning a numerical value to an attribute of an object or event. The chapter covers topics such as length, mass, capacity, time, temperature, and money. The chapter explains how to teach learners to measure using informal and formal units, instruments, and scales. The chapter also discusses how to estimate and compare measurements, and how to solve problems involving measurement.
Geometry. This chapter examines the concept of geometry, which is the study of shapes and space. The chapter covers topics such as two-dimensional shapes, three-dimensional objects, symmetry, transformations, position, direction, and movement. The chapter explains how to teach learners to recognise, name, describe, compare, classify, draw, construct, and manipulate shapes and objects. The chapter also emphasises the importance of spatial reasoning and visualisation skills.
Data handling. This chapter investigates the concept of data handling, which is the collection, organisation,
displaying analysis interpretation communication of information about a situation or problem. The chapter covers topics such as types of data sources methods sampling techniques graphs tables charts diagrams statistics probability inference decision making. The chapter explains how to teach learners to handle data using concrete pictorial symbolic representations tools technologies contexts questions tasks activities projects investigations games experiments surveys.
Problem solving. This chapter explores the concept of problem solving which is the process of finding solutions to challenging or unfamiliar situations or questions in mathematics or other domains. The chapter covers topics such as types of problems strategies heuristics models methods skills attitudes dispositions behaviours metacognition reflection communication collaboration creativity critical thinking reasoning justification proof generalisation transfer application innovation invention. The chapter explains how to teach learners to solve problems using various approaches resources scaffolds supports challenges extensions enrichments differentiation assessment feedback.
Integrating mathematics with other subjects. This chapter examines how mathematics can be integrated with other subjects in the curriculum such as languages natural sciences social sciences arts culture life skills technology religion values ethics health safety environment sustainability citizenship democracy human rights diversity inclusion globalisation development peace justice equality equity social justice human dignity freedom responsibility accountability respect tolerance empathy compassion care cooperation collaboration solidarity ubuntu service learning community engagement social action social change agency voice participation empowerment transformation advocacy activism leadership entrepreneurship innovation creativity critical consciousness critical literacy media literacy digital literacy information literacy financial literacy numeracy literacy multiliteracies plurilingualism pluriculturalism interculturalism interdisciplinarity transdisciplinarity cross-curricular multidisciplinary holistic education 21st century skills competencies outcomes key competences for lifelong learning global competences for sustainable development goals UNESCO UNICEF OECD PISA TIMSS PIRLS SACMEQ ANA DBE CAPS NCS RNCS GET FET NQF SAQA Umalusi CHE HEQC HEQSF CHEC SACE ACE ADE PGCE BEd MEd PhD DEd EdD etc.
Using resources and technology effectively. This chapter investigates how resources and technology can be used effectively to enhance teaching and learning mathematics in the foundation phase. The chapter covers topics such as types of resources materials equipment devices software applications websites platforms games simulations animations videos podcasts audio books e-books e-readers tablets laptops computers calculators smartboards interactive whiteboards projectors cameras phones scanners 061ffe29dd