Maths Pre-course Information Evening
Maths Starter – Frog Algebra
Subject Application Sessions
School Placements
WHAT IS SUBJECT KNOWLEDGE?
Shulman separates the definition of subject knowledge
into three types, that being ‘content knowledge,
pedagogical knowledge and curricular knowledge’ (1986:9).
Content knowledge:
Curricular knowledge:
Pedagogical knowledge:
LTU RESOURCES:
EXAM PAPERS
www.edexcel.com - question papers and markschemes
www.aqa.org.uk - question papers and markschemes
login: ltuc password: equation
www.mymaths.co.uk
www.mathswatchvle.com
Centre ID - leedstrinity
Username - apupil
Password - mathswatch
TEXT BOOKS- ex/ AQA GCSE MATHS HIGHER STUDENT BOOK
**Email link**
Advanced Level ( for now)
Core mathematics units:C1 C2 C3 C4
Mechanics units:M1 M2 M3 M4 M5
Statistics units:S1 S2 S3 S4
Decision mathematics units:D1 D2
Further pure mathematics unitsFP1 FP2 FP3
Maths Subject Knowledge Tracker
Date Action Source Details Aim Achieved TasksPre- Course GCSE Revision Internet www.gcsemathstutor.com
www.mymaths.comTo refresh my GCSE knowledge Yes, with areas of weakness identified. Standard Form
Histograms 3D Axis
Pre- Course Subject knowledge Audit Trinity University Pre-interview Audit Progress report. Areas of weakness identified. AS/ A2 revision Particularly Calculus
Pre- Course Core 1, 2, 3 revision InternetTextbook
www.mymaths.comBostock, L and Chandler, S: ‘Core Maths for A-level.’
To feel more comfortable with A Level Maths Yes, gaps in knowledge identified. Core 3 definitely an area to work on.
Mock papers, examine different specs for different exam boards.
Core 3- Integration Dividing a quadratic by a linear.
Pre-course Standard Form Internet www.mymaths.com Practice standard form. Yes, more comfortable with both large and small standard form.
Pre-course Bearings
Internet Video tutorial (Hegarty Maths) To be more comfortable with the wording of bearings questions. Yes.
Pre-course GCSE Higher revision Past Papers EdexcelAQA
To be achieving 90+ on higher papers.To get a feel for the different examining boards
Practice when to use the sine and Cosine Rule Direct and inverse proportion Centre of Enlargement Sampling
Pre-course Direct and inverse proportion. Internet Video Tutorial (Hegarty Math’s)Online Homework (www.mymaths.com)
To practice the formula for both direct and indirect proportion. Yes, secure knowledge.
Pre-course Core 1 Revision Past Papers OCR To assess level of absorption of past revision. Feel more confident that some level of Core 1 has been learned. Areas to improve identified.
Roots, discriminant.
Pre-Course Sampling Internet Video Tutorial (Hegarty Maths) Quick revision on stratified sampling. Yes, secure knowledge.
Pre-Course Core 1- Solving equations with fractional exponents.
InternetPast Papers
Video TutorialOCR
To understand equations such as:3x^1/2-8x^1/4+4=0
Yes, secure understanding.
Pre-Course Core 2 Revision Past Papers OCR To identify areas of weakness.To assess level of understanding.
Yes. Binomial Expansion Logs Geometric Progression. Finding areas using integration.
Pre-Course Core 2 Revision- Binomial Expansion. Internet Video Tutorial (Patrick MT) Revision of binomial expansion, to be walked through examples. More secure knowledge, work still needed. Exam questions.
Pre-Course Core 2 Revision- Geometric Progression. Internet Video Tutorial (Exam Solutions) Revision of geometric progression formulas, and the meaning of ‘common ratio.’
Secure understanding
05/09/2014 GCSE Revision- Review of Edexcel Draft GCSE
Draft 2017 GCSE Edexcel Reading through the Edexcel draft for the 2017 GCSE to identify areas to work on.
Yes. Kinematics Compound Interest Exponential Growth
05/09/201406/09/2014
GCSE RevisionKinematics
Internet TheStudentRoom.comPhysicscclassroom.comKhan Academy
To refresh memory of equations involving distance, time and speed. To familiarize myself with the SUVAT equations.
Yes, more practice of SUVAT equations needed. Identifying which equation to use
08/09/2014 GCSE Revision Edexcel draft 2017 papers Edexcel Revision for GCSE test on 09/09/2014
08/09/2014 Compound interest Exponential growth and
decay
Internet Mathsrevision.net Revision for GCSE test on 09/09/2014
Yes, secure understanding.
09/09/09 GCSE test Test paper at Leeds Trinity Draft Specification for 2017 GCSE To set targetsTo assess where we are
Yes Vectors Velocity/ Time Graphs Highest Common factors
09/09/2014 Algebraic long division Internet Mathsrevision.netMymaths.com
To see more examples of algebraic long division. Yes. Potentially needs more practice of my own.
09/09/2014 Core 1 revision Past paper OCR To revise for Core 1 paper on 12/09/2014 Negative indices Fractional indices
10/09/2014 Indices Internet examsolutions.net – Video tutorial and summary examples
To be more confident when working with negative and fractional indices, or both.
Yes, knowledge secure.
10/09/2014 Polynomials Internet Examsolutions.netVideo tutorial
To see examples of algebraic long division worked out in front of me.
Yes, understand the concept now, may need to work through examples on my own.
Exam questions
11/09/2014 Graph Transformations Internet Examsolutions.netVideo tutorial
To clear up confusion as to which equation works with which transformation/ translation.
Yes, clearer understanding, will practice theory when doing past papers.
Past papers
11/09/2014 Core 1 Revision Past Papers OCR Area of points on a circle making a triangle. Finding the coordinates of a point given the line equation,
another point, and the distance from A to B.
11/09/2014 Coordinate Geometry: Equation of tangents to
circles
Internet Examsolutions.netVideo tutorial
Revision for Core 1 test on 12/09/2014 Yes.
11/09/2014 Sequences and series Internet Examsolutions.netVideo tutorial
Revise sum of seriesRevise sigma notation
Yes, more confident with the equation for the sum of a series. Will need do some practice questions
Exam questions
11/09/2014 Core 1 Revision Past Paper- June 2013 AQA Revision for Core 1 Paper on 12/09/2014 Yes, insight given in to what is on the AQA paper after previously only doing OCR.
Using the discriminant
11/09/2014 Integration Internet Examsolutions.net Video tutorial
Yes, more confident with these questions. Area under a curve
11/09/2014 Core 1 Revision Past PaperInternet
EdexcelExamsolutions.net
Revision for Core 1 test on 12/09/2014 with worked answers via video tutorial.
Yes, insight given in to what is on the Edexcel paper after previously only doing OCR.
Sequences Equation of a curve given its original equation ad a
transformation Roots
11/09/2014 Roots and the discriminant Internet Examsolutions.net Refresher on using the discriminant to find out whether there are roots.
Yes, secure knowledge. Exam questions.
WEBSITES:
National Centre for Excellence in the Teaching of Mathematics - www.ncetm.org.uk
National STEM Centre -www.nationalstemcentre.org.uk
Institute of Mathematics and its applications www.ima.org.uk
Association of Teachers of Mathematics www.atm.org.uk
MATHS ASSOCIATIONS:
Mathematical Association www.m-a.org.uk
Some Websites:
<http://www.10ticks.co.uk/>
<http://www.brainpop.com/>
<http://www.echalk.co/>
<http://www.funbrain.com/>
<http://www.shambles.net/pages/learning/MathsP/mathassess/>
<http://www.mathsrevision.net/>
<http://mymathtutor.com/>
<http://www.s-cool.co.uk/>
<http://mathworld.wolfram.com/topics/LiveGraphics3DApplets.html>
<http://www.skoool.co.uk/lgfl/index.aspx>
<http://www.sosmath.com/>
www.cre8atemaths.org.uk <http://www.cre8atemaths.org.uk>
www.mathsisfun.co.uk <http://www.mathsisfun.co.uk>
www.mathwatch.co.uk <http://www.mathwatch.co.uk>
www.transum.org/starter <http://www.transum.org/starter> - Maths Starter
www.churchillmaths.com <http://www.churchillmaths.com>
www.tes.co.uk/teaching-resources <http://www.tes.co.uk/teaching-resources>
POSSIBLE READING
Bartlett, J. (2014) Becoming an Outstanding Mathematics Teacher. Oxon:Routledge
Foster, C. (2013) The Essential Guide to Secondary Mathematics. Oxon:Routledge
Skemp, R. R., (1993), The psychology of learning mathematics, second edition, London: Penguin books
Watson, A., et al. (2013) Key Ideas in Teaching Mathematics. London: Oxford University Press
Rogers, B (1994), The language of Discipline - A practical approach to effective classroom management (Northcote House Publishers Ltd)
Marzano, R J, Marzano, J S and Pickering, D (2003), Classroom Management That Works: research-based strategies for every teacher (ASCD)
Leading Mathematics Education Journals
Educational Studies in MathematicsFor the Learning of MathematicsJournal of Mathematical BehaviourJournal of Mathematics Teacher EducationJournal for Research in Mathematics EducationMathematical Thinking and LearningResearch in Mathematics Education and ZDM
Lemov, D. (2015) Teach like a champion 2.0. San Francisco: Jossey-Bass
Targets for the summer:
(1) Work on Subject Knowledge - as per your audit results – log everything you do in your maths subject knowledge tracker(2) Join NCETM and STEM - locate websites for good Maths ideas – start collating resources (3) Read two (!) books – one on Maths Pedagogy, one on behaviour management (see book and journal list)(4) Download the Smart Notebook software from:
www.smarttech.com/gb
You are allowed a free trial for 30 days without requiring aproduct key.