Maths teaching and learning module booklet 2015 2016

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© Plymouth University

Faculty of Arts & Humanities

Institute of Education

PGCE Mathematics Pathways

EPGS615: Teaching & Learning

Mathematics

2015 - 16

1 Secondary Mathematics T&L 2015-16

© Plymouth University 2 Secondary Mathematics T&L 2015-16

Contents

Introduction to the Teaching and Learning module

Weekly Plan

Assignment Brief

Submission requirements & Assignment Checklist

Assessment Sheet

Page 4

Page 5

Page 14

Page 15

Page 16

© Plymouth University 3 Secondary Mathematics T&L 2015-16

Introduction to the Teaching and Learning Module

The module aims are

• to reorient trainees from their varied subject backgrounds to the reality of teaching their subject in schools and to the academic requirements of the programme.

• to start to develop in trainees the levels of knowledge, personal qualities and standards of professional competence necessary to stimulate the imagination of pupils.

The focus of the module is the rudiments of lesson planning through experiential and practical faculty and school sessions integrated to help you to acquire a range of practical teaching ideas and a graduated range of experiences of teaching in preparation for Practical Teaching

1. The school experience provides practical experience working with pupils as well as Training

Sessions with Subject Mentors and other Partnership School staff. While the work in this module is developed at all levels there is normally an emphasis on KS3 & KS4. You will be introduced to the range of resources available in your subject, including ICT.

The module introduces trainees to short term lesson planning within NC requirements and to formative and diagnostic assessment and assessment within the NC and GCSE. You will be helped to start to audit your Subject Knowledge.

A number of aspects, e.g. lesson observation, lesson planning, Monitoring & Assessment, ICT, which are introduced in Professional Issues, are developed in a subject context.

Pathway Co-ordinator: Carrie Headlam

Room 102 in 2-5 Kirkby place carrie.headlam@plymouth.ac.uk

Pathway Tutor and Programme Leader: Tom Cowan

1 st Floor in Nancy Astor Building tom.cowan@plymouth.ac.uk

© Plymouth University 4 Secondary Mathematics T&L 2015-16

Week 8 Induction Week beginning 14

th

Sept 2015

(Mathematics Specific Content Only)

Tuesday 0900-1200 Mathematical Activities (Rolle 207)

Welcome and Introductions

Collect Initial Work

Mathematical Activites

Wednesday 0900-1200 (Rolle 207)

Complete and collect Trainee Snapshots in PDP

Photos taken

The PGCE calendar – important dates

Carrie and Tom

Carrie and Tom

Statistical Activities

Wednesday 1300-1600

Individual Tutorials (Schedule to be Confirmed)

Carrie and Tom

Background Reading

Johnston-Wilder, S., Johnston-Wilder, P., Pimm, D and Lee, C (2011) Learning to Teach Mathematics in the Secondary School: A companion to School

Experience

Chapter 11 Mathematics in Context

© Plymouth University 5 Secondary Mathematics T&L 2015-16

WEEK 9 Week beginning 21

st

Sept 2015

Tuesday 0900 -1200 (Rolle 109)

Primary/secondary transition

Tom

The national curriculum in KS2: overview

Developing methods of written calculation: Addition and subtraction

Leapfrogs

Tuesday 1300-1500 (Rolle 109)

Mathematical Investigations

Wednesday 0900-1200 (Rolle 207)

Magic Maths

Return of Initial Work

Tom

Carrie

Consideration of Programme Aims

Introduction to the National Curriculum

Introduction to Teaching & Learning Assignment (end of module assessment)

Introduction to course and subject documentation

Card Matching and Calculus

Allocation of GCSE Questions

Wednesday 1300-1500

Independent Study/Tutorials

Carrie

Background Reading

Johnston-Wilder, S., Johnston-Wilder, P., Pimm, D and Lee, C (2011) Learning to Teach Mathematics in the Secondary School: A companion to School

Experience

Chapter 2 Mathematics in the National Curriculum

© Plymouth University 6 Secondary Mathematics T&L 2015-16

WEEK 10

Tuesday 0900 - 1200

Week beginning 28 th Sept. 2015

(Rolle 109) Tom

Starter

Accessing the Module Folders through moodle. The On-line Handbook &

Proformas and Exemplars Booklet

Lesson Planning: Using the lesson plan proforma

Tom Tuesday 1300-1500

Geogebra

(Rolle 304)

Wednesday 0900-1200 (Rolle 207) Carrie

Starter: The Four Fours

Focussed Lesson Observations

GCSE Presentations Group 1

Review SKP: strategies for progression

Module assignment: discussion

Mathematical Investigations

Wednesday 1300-1500

Independent Study/Tutorials

Carrie

Background Reading

Johnston-Wilder, S., Johnston-Wilder, P., Pimm, D and Lee, C (2011) Learning to Teach Mathematics in the Secondary School: A companion to School

Experience

Chapter 5 Planning for Mathematics Learning

© Plymouth University 7 Secondary Mathematics T&L 2015-16

WEEK 11

Tuesday 0900 - 1200

Starter

(Rolle 115)

GCSE Presentations Group 2

Medium term plans

Week beginning

Tom

5 th October 2015

Looking at a good lesson (Lesson Observation Proforma) and creating a

Reverse Lesson Plan: using the Lesson Plan Proforma, working in small groups.

Tuesday 1300-1400

Autograph

(Rolle 304) Tom

Wednesday 0900-1200 (Rolle 207)

Visiting speaker: Ted Graham

The Further Maths support programme

Developments in A-Level Mathematics

Wednesday 1300-1500 (Rolle 207)

Visiting speaker: Naomi Sani

Carrie

Carrie

Developments in Core Mathematics

Background Reading

Johnston-Wilder, S., Johnston-Wilder, P., Pimm, D and Lee, C (2011) Learning to Teach Mathematics in the Secondary School: A companion to School

Experience

Chapter 9 Using Information and Communication Technology

© Plymouth University 8 Secondary Mathematics T&L 2015-16

WEEK 12

Tuesday 0900 – 1500 (Rolle 304)

Week beginning 12

Exam board websites.

Logarithms Puzzle and the Tarsia Website th Oct 2015

Interactive Resources

Tuesday 1530 - 1630(ish) Carrie

Promethean IWB Session at Ridgeway School, Plympton

Wednesday 0900-1200 (Rolle 207) Carrie

PfEG Resources

Review School Experience (Acting Like a Teacher and Classroom

Management)

Review of Reverse lesson Plans. Module assignment

Developing written methods of calculation: multiplication and division

Wednesday 1300-1500

Independent Study/Tutorials

Carrie

Background Reading

Johnston-Wilder, S., Johnston-Wilder, P., Pimm, D and Lee, C (2011) Learning to Teach Mathematics in the Secondary School: A companion to School

Experience

Chapter 4 Different Teaching Approaches

CSMS Chapter 4

 Assessing pupils’ progress in mathematics at Key Stage 3 Teachers’ handbook

© Plymouth University 9 Secondary Mathematics T&L 2015-16

WEEK

Tuesday

13 Week beginning

Visit to Launceston College

AM Observe KS4 Classes

Carrie

PM Collaborative Connected Classrooms with Nicola Trubridge

19 th Oct 2015

Wednesday 0900-1200 (Rolle 207)

Starter: Loop Cards

GCSE Presentations Group 3

Introducing a lesson

– starter activities

Module assignment: discussion

Investigation: Garden Ponds

Carrie

Planning Week 12 teaching: (Garden Ponds or other activity)

Wednesday 1300-1500

Independent Study

Background Reading

Johnston-Wilder, S., Johnston-Wilder, P., Pimm, D and Lee, C (2011) Learning to Teach Mathematics in the Secondary School: A companion to School

Experience

Chapter 8 Communicating Mathematically

© Plymouth University 10 Secondary Mathematics T&L 2015-16

WEEK 14

School Half Term Week

Tuesday 0900

– 1200

(Rolle 207)

Time to Work on Launceston Lesson plans

Week beginning 26 th Oct 2015

Tom

Tuesday 1300-1400 (Rolle 304)

Using Excel to produce classroom resources

Wednesday 0900-1200

Meet some of last year’s trainees

(Rolle 207)

Tom

Carrie

Teacher Recruitment Fair ? (TBC)

Wednesday 1300-1500 (Rolle 207)

Review of Launceston lesson plans

Carrie

Background Reading

Johnston-Wilder, S., Johnston-Wilder, P., Pimm, D and Lee, C (2011) Learning to Teach Mathematics in the Secondary School: A companion to School

Experience

Chapter 13 Teaching mathematics post-16

© Plymouth University 11 Secondary Mathematics T&L 2015-16

WEEK 15

Tuesday Visit to Launceston College

AM Teach KS4 Classes

PM Lesson feedback and De-Brief

Wednesday 0900-1200 (Rolle 207)

Starter:

Carrie

PDP and setting targets for Practical Teaching 1

Preparing for placement and interviews

Wednesday 1300-1500

Independent Study/ Tutorials

Week beginning

Carrie

Carrie/Tom

2 nd Nov 2015

© Plymouth University 12 Secondary Mathematics T&L 2015-16

PGCE Secondary Programme

Assignment Brief - 100% Coursework

Teaching and Learning - Assessment Brief

For this module the assessment is based on the observation of an experienced teacher in your own subject area. You will be asked to carry out some observed lessons on an experienced teacher(s) in the first few weeks of your Practical Teaching 1 module. You will make notes on the Focused Lesson Observation Form and have the opportunity to discuss the lessons with the teachers, your Subject Mentor and your Subject Pathway Leader.

The assignment for this module is a 1500 word report and lesson plan. You need to analyse one of the lessons that you observe. You do not need to analyse all the components of this lesson. You will be asked to focus on/given a choice of foci, by your pathway leader. Please note the following:

1.

You need to analyse the component parts and explain the educational concepts that underpin what you observe. In doing this you need to link your explanation to your reading and understanding of the teaching and learning concepts (wider and subject specific) from the module.

2.

In your report you also need to explain why the topic of the lesson is a part of the curriculum. You will need to contextualise the topic as part of a series of lessons, explaining what other topics would come before and after and why the topic is important for progression in your subject.

3.

You will need to design your own lesson plan to cover the objectives of the observed lesson. This should be on the standard programme lesson plan proforma. You should include the lesson plan and focused observation form in your report as appendices and make reference to them when explaining how you would teach the learning objectives.

4.

Your report should be structured in a logical way with clear sections and appropriate headings. Your report should also have a contents page at the start and a list of references at the end. Your referencing should follow the Harvard system.

© Plymouth University 13 Secondary Mathematics T&L 2015-16

Submission requirements & Assignment checklist

Submission deadline: 3pm Tuesday 15 th December 2015 on the EPGS615 Moodle site. We recommend that you submit your work before or at the start of the day and do not leave last minute adjustments etc., until the day of the deadline.

Please complete this checklist before submitting.

I have:

Carefully read the Assessment sheet

(following 2 pages).

Proof read my 1500 word report.

Included a contents page.

Suitably structured the report into clear sections with headings.

Used Harvard referencing

Included my lesson plan.

Included my completed observation form, as an appendix.

© Plymouth University 14 Secondary Mathematics T&L 2015-16

PGCE Secondary Programme

Teaching and Learning - Assessment Sheet

Trainee Name:

Subject Pathway:

Date:

Trainee Reference Number:

First Marker:

First Marker ‘s Signature:

Level 6 Module Outcome: [Provisional until confirmed at Assessment

Board]

PASS  FAIL 

Application of sufficient educational conceptual knowledge to the analysis of observed classroom practice, learners and teachers

Trainee has analysed an observed lesson in their own subject area and is able to relate aspects of the lesson to theories of teaching and learning.

First Marker’s Comments:

Application of sufficiently robust specialist subject knowledge to their own observations, planning and presented work in faculty sessions and serial school practice

Trainee has explained why the topic of the observed lesson is part of the curriculum and how the lesson will form part of a series of lessons.

First Marker’s Comments:

© Plymouth University 15 Secondary Mathematics T&L 2015-16

Sufficiently wide use of educational knowledge of recognised good practice and ethics to demonstrate independent thinking, initiative and adaptation to ‘live’ classroom situations

Trainee has applied their knowledge of good practice to construct a lesson plan for the topic of the observed lesson with all the necessary components.

First Marker’s Comments:

Independently structuring and communicating educational ideas, flexibly handling subject knowledge within individual and collaborative tasks

The overall presentation of assignment is logical and the ideas in the assignment are communicated effectively. The standard of written English is acceptable and the referencing follows to Harvard system.

First Marker’s Comments:

Second Marker’s Comments (if applicable)

Name: Date:

© Plymouth University 16 Secondary Mathematics T&L 2015-16

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