# Mathematics 1: Module 2 - Algebra, Functions, Statistics and Probability MAT 102

## Course Objectives

The aim of *Mathematics 1 *is that students acquire the skills that will enable them to teach grades 1 to 7 in an acceptable professional and reflective manner, and in accordance with the goals of the current primary and lower secondary school curriculum. Mathematics 1 - Module 2 covers the topics, algebra, functions, statistics and combinatorics and probability theory. Through this module, students will develop teaching skills in these target areas. They will gain knowledge of the most fundamental concepts and methods of mathematics, and learn to apply this understanding to solve practical problems. Students will be expected to master skills in arithmetic, mathematical concepts and problem-solving strategies. To acquire teaching competence also requires that students gain didactic competence, which will allow them to adapt lessons to suit the needs of pupils with a wide range of needs.

Students must be able to use IT-based aids to solve basic mathematical problems and to create favourable learning environments for their pupils. They will also gain insight into the critical evaluation of teaching aids, including IT-based tools.

Students will study mathematics as a school subject, where inductive work methods are stressed. They will also study mathematics as a discipline, and gain experience with how it can be studied as a logical, deductive science.

Students who pursue this course will become acquainted with pertinent literature in the field of mathematical didactics, and acquire an understanding of the various approaches and learning theories in mathematics. In doing so, they will gain experience in teaching and reflecting on the subject of mathematics.

By applying this theory in the teaching practice classes, students will gain realistic experience with the planning and implementation required in real teaching situations and be able to demonstrate that they can evaluate these aspects of mathematics’ instruction. They will develop the ability to understand the mathematical thought processes of pupils, so that they can vary their teaching methods and thereby help pupils to develop robust concepts and self- confidence in working with the subject. Students will learn how to adapt their instruction methods to allow latitude for cooperation and discussion.

## Course Description

Through the study of mathematics in the teacher education study programme, students will encounter the subject in a variety of contexts. In addition to gaining knowledge of mathematics, there is a special focus on the nature of the subject and children’s learning of mathematics. Mathematics 1 module 2, together with module 1, will provide students with knowledge of a wide range of mathematical and didactic topics, allowing them to confidently and independently plan, implement and evaluate the teaching of mathematics in primary schools. Module 2 will focus on the following topics:

**Algebra**

This module will provide students with knowledge of algebra so they can generalise from arithmetic, as well as describe and analyse patterns and relationships within number theory. Students will also be able to explore and describe the structures in geometric patterns. The course will also include the following algebraic topics: factorisation of algebraic expressions; calculation using formulas; using parentheses; and fractions with 2-digit denominators. The course will focus on solving equations of the first and second degree; solving simple inequalities and equations with two unknowns. Work on the equals sign and its meaning will also be emphasised.

**Functions**

Students will be able to explain the basic characteristics of functions, including linear, simple quadratic, rational and exponential functions. They will also be able to explain function and variable concepts; be familiar with different forms of representation for functions; and be able to understand the connection between functions and practical problems. Dynamic software will be important in the course work with functions.

**Statistics**

The course will focus on how to collect data and represent them in a variety of ways. Interpreting and understanding charts will be emphasised. Calculating and interpreting central tendency and dispersion will also be focused on. The work in statistics will also include exercises using spreadsheets.

**Combinatorics and probability**** **Simple probability models and combinatorial problems are a central topic. Students will work on practical issues related to the topic, and on exercises involving spreadsheet-based simulations.

**Subject didactics assignment**** **Students will complete a subject didactics assignment during the course of the year.

## Learning Methods

*Mathematics** 1 Module 2* is taught over two semesters (3^{rd} and 4^{th} semesters). The course includes varied teaching and learning methods such as lectures, individual exercises and group work. In addition, individual supervision will be given in connection with the compulsory assignments. *Mathematics** 1 *includes compulsory teaching practice according to national guidelines and the faculty’s teaching practice plan.

## Assessment Methods

The subject didactics assignment must be approved before the students will be permitted to sit the examination.

Final 6-hour written examination given at the end of the fourth semester. The examination will be assessed according to a scale from A to F, where A is the highest grade and E the lowest passing grade. For more information please refer to the Telemark University College’s Examination Regulations.

Permitted examination aids: Drawing and writing materials, calculator and the national curriculum.

*Minor adjustments may occur during the academic year, subject to the decision of the Dean*

Publisert av / forfatter Ian Hector Harkness <Ian.HarknessSPAMFILTER@hit.no> - 11/07/2011