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 - question papers and markschemes - question papers and markschemes login: ltuc password: equation Centre ID - leedstrinity Username - apupil Password - mathswatch TEXT BOOKS- ex/ AQA GCSE MATHS HIGHER STUDENT BOOK ** 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 units FP1 FP2 FP3

Maths Subject Knowledge Tracker DateActionSourceDetailsAimAchievedTasks Pre- CourseGCSE RevisionInternetwww.gcsemathstutor.com To refresh my GCSE knowledgeYes, with areas of weakness identified.  Standard Form  Histograms  3D Axis Pre- CourseSubject knowledge AuditTrinity UniversityPre-interview AuditProgress report.Areas of weakness identified.  AS/ A2 revision  Particularly Calculus Pre- CourseCore 1, 2, 3 revisionInternet Textbook Bostock, L and Chandler, S: ‘Core Maths for A-level.’ To feel more comfortable with A Level MathsYes, 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-courseStandard FormInternetwww.mymaths.comPractice standard form.Yes, more comfortable with both large and small standard form. Pre-courseBearings InternetVideo tutorial (Hegarty Maths)To be more comfortable with the wording of bearings questions.Yes. Pre-courseGCSE Higher revisionPast PapersEdexcel AQA 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-courseDirect and inverse proportion.InternetVideo Tutorial (Hegarty Math’s) Online Homework ( To practice the formula for both direct and indirect proportion.Yes, secure knowledge. Pre-courseCore 1 RevisionPast PapersOCRTo 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-CourseSamplingInternetVideo Tutorial (Hegarty Maths)Quick revision on stratified sampling.Yes, secure knowledge. Pre-CourseCore 1- Solving equations with fractional exponents. Internet Past Papers Video Tutorial OCR To understand equations such as: 3x^1/2-8x^1/4+4=0 Yes, secure understanding. Pre-CourseCore 2 RevisionPast PapersOCRTo identify areas of weakness. To assess level of understanding. Yes.  Binomial Expansion  Logs  Geometric Progression.  Finding areas using integration. Pre-CourseCore 2 Revision- Binomial Expansion.InternetVideo Tutorial (Patrick MT)Revision of binomial expansion, to be walked through examples.More secure knowledge, work still needed.  Exam questions. Pre-CourseCore 2 Revision- Geometric Progression.InternetVideo Tutorial (Exam Solutions)Revision of geometric progression formulas, and the meaning of ‘common ratio.’ Secure understanding 05/09/2014GCSE Revision- Review of Edexcel Draft GCSE Draft 2017 GCSEEdexcelReading through the Edexcel draft for the 2017 GCSE to identify areas to work on. Yes.  Kinematics  Compound Interest  Exponential Growth 05/09/ /09/2014 GCSE Revision Kinematics InternetTheStudentRoom.com Physicscclassroom.com Khan 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 08/09/2014GCSE RevisionEdexcel draft 2017 papersEdexcelRevision for GCSE test on 09/09/ /09/2014  Compound interest  Exponential growth and decay InternetMathsrevision.netRevision for GCSE test on 09/09/2014 Yes, secure understanding. 09/09/09GCSE testTest paper at Leeds TrinityDraft Specification for 2017 GCSETo set targets To assess where we are Yes  Vectors  Velocity/ Time Graphs  Highest Common factors 09/09/2014Algebraic long divisionInternetMathsrevision.net Mymaths.com To see more examples of algebraic long division.Yes. Potentially needs more practice of my own. 09/09/2014Core 1 revisionPast paperOCRTo revise for Core 1 paper on 12/09/2014  Negative indices  Fractional indices 10/09/2014IndicesInternetexamsolutions.net – Video tutorial and summary examples To be more confident when working with negative and fractional indices, or both. Yes, knowledge secure. 10/09/2014PolynomialsInternetExamsolutions.net Video 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 11/09/2014Graph TransformationsInternetExamsolutions.net Video 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 11/09/2014Core 1 RevisionPast PapersOCR  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. 11/09/2014Coordinate Geometry:  Equation of tangents to circles InternetExamsolutions.net Video tutorial Revision for Core 1 test on 12/09/2014Yes. 11/09/2014Sequences and seriesInternetExamsolutions.net Video tutorial Revise sum of series Revise sigma notation Yes, more confident with the equation for the sum of a series. Will need do some practice questions  Exam questions 11/09/2014Core 1 RevisionPast Paper- June 2013AQARevision for Core 1 Paper on 12/09/2014Yes, insight given in to what is on the AQA paper after previously only doing OCR.  Using the discriminant 11/09/2014IntegrationInternetExamsolutions.net Video tutorial Yes, more confident with these questions.  Area under a curve 11/09/2014Core 1 RevisionPast Paper Internet Edexcel Examsolutions.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 11/09/2014Roots and the discriminantInternetExamsolutions.netRefresher 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 - National STEM Centre - Institute of Mathematics and its applications Association of Teachers of Mathematics MATHS ASSOCIATIONS: Mathematical Association

Some Websites: Maths Starter

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 Mathematics For the Learning of Mathematics Journal of Mathematical Behaviour Journal of Mathematics Teacher Education Journal for Research in Mathematics Education Mathematical Thinking and Learning Research 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: You are allowed a free trial for 30 days without requiring a product key.