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University College London

Key Ideas in Mentoring Mathematics Teachers

University College London via FutureLearn

Overview

Develop as a mentor of early career maths teachers

On this course, you’ll be led by experts from the UCL Institute of Education as you learn how to support less experienced maths teachers.

This course offers a chance to engage in-course discussion with your peers to help you boost your own subject knowledge in teaching secondary school students and apply new research to your teaching practice.

As a mentor, you’ll use your personal experience to reflect upon and develop further your practice as well as share your expertise with new teachers.

The course leaders regularly run live Q&A sessions on this course. Any upcoming dates in the next month will be advertised under the “Learning on this course” section below.

This course is suitable for those who have been teaching mathematics at secondary school level for at least three years. This background is needed as mentors draw upon their observations and wealth of knowledge as experienced teachers to suggest effective and workable approaches for maths lessons.

This background is necessary for mentors to draw upon their observations and knowledge as experienced teachers.

We recommend that you can access GeoGebra on the device you are using to access the course. The application is based online and offers a free download for a number of its tools.

Syllabus

  • Introduction to the course
    • Welcome and course overview
    • Getting the most from the course
    • Introduce yourself
    • LIVE Q&A with the designers of the course
  • Fostering Algebraic Reasoning
    • Introduction
    • Mathematical Relations
    • Algebraic Language
    • Solving Equations
    • Fostering Algebraic Reasoning: Reflections and Concluding remarks
  • Fostering Geometric Reasoning
    • Introduction
    • Working with diagrams
    • Visualising
    • Invariance
    • Fostering Geometric Reasoning: Reflections and Concluding remarks
  • Fostering Numerical Reasoning
    • Introduction
    • Negative numbers and the minus sign
    • Fractions
    • Developing fluency with times tables
    • Fostering Numerical Reasoning: Reflections and Concluding remarks
  • Fostering Functional Reasoning
    • Introduction
    • Knowledge about functions
    • Graphical representations of functions
    • Square roots
    • Fostering Functional Reasoning: Reflections and Concluding remarks

Taught by

Cosette Crisan, and Eirini Geraniou

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