MTHED501-19B (NET)

Mathematics Education

30 Points

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Te Kura Toi Tangata Faculty of Education
Te Hononga Curriculum and Pedagogy

Staff

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Convenor(s)

Lecturer(s)

Administrator(s)

: janene.harris@waikato.ac.nz

Placement Coordinator(s)

Tutor(s)

Student Representative(s)

Lab Technician(s)

Librarian(s)

: melanie.chivers@waikato.ac.nz

You can contact staff by:

  • Calling +64 7 838 4466 select option 1, then enter the extension.
  • Extensions starting with 4, 5, 9 or 3 can also be direct dialled:
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Paper Description

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This paper is directed towards enabling teachers to carry out small-scale inquiries either into their own mathematics teaching practice or into aspects of mathematical pedagogy. This will be achieved through discussion of possible approaches and particular issues in mathematics education during online discussions and in exploring various strategies for the student’s area of interest. In particular the paper will focus on critical reflection made of this practice. Throughout the paper mathematics education will be developed as a highly inclusive activity. Issues relating to public understandings of mathematics will be explored so students develop the capacity to be critical participants in curriculum issues. The particular approach to be taken here will focus on the students developing a reflective attitude to their teaching of mathematics, and this will be built through a research-led engagement with everyday teaching issues. A core feature of this reflective attitude will be a specific attention to how mathematics is understood and further developed in the context of their professional life and in the lives of the students they teach.

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Paper Structure

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Within this framework, specific themes relating to mathematics education will be addressed:

  • The nature of mathematics
  • Theories of learning and teaching
  • Knowing mathematics for teaching
  • Teaching as inquiry
  • Catering for diverse learners in mathematics classrooms
  • The role of language and comunication in mathematics learning
  • Cultural aspects of mathematics learning
  • Affective responses to mathematics
  • Approaches to mathematics teaching, including assessment and National Standards
  • Statistical literacy.
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Learning Outcomes

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Students who successfully complete the course should be able to:

  • carry out a small scale inquiry into their own mathematics teaching practice;
    Linked to the following assessments:
  • develop skills of critical reflection of their teaching practice;
    Linked to the following assessments:
  • develop an appreciation of current debates concerned with mathematics education;
    Linked to the following assessments:
  • analyse and make links to some mathematics education research literature;
    Linked to the following assessments:
  • examine their own views and practice in the light of current debates in mathematics education through reflective discussion and writing;
    Linked to the following assessments:
  • articulate about aspects of teaching and learning mathematics; and
    Linked to the following assessments:
  • develop appropriate writing skills for reporting on research.
    Linked to the following assessments:
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Assessment

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There are three assignments, with Assignments A and B relating to inquiry into your mathematics teaching practice, and Assignment C exploring an issue in mathematics education.

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Assessment Components

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The internal assessment/exam ratio (as stated in the University Calendar) is 100:0. There is no final exam. The final exam makes up 0% of the overall mark.

The internal assessment/exam ratio (as stated in the University Calendar) is 100:0 or 0:0, whichever is more favourable for the student. The final exam makes up either 0% or 0% of the overall mark.

Component DescriptionDue Date TimePercentage of overall markSubmission MethodCompulsory
1. Assignment A: Inquiry proposal (20%)
26 Jul 2019
5:00 PM
20
  • Online: Submit through Moodle
2. Assignment B: Inquiry research report (35%)
20 Sep 2019
5:00 PM
35
  • Online: Submit through Moodle
3. Assignment C: Literature Review Issues in Mathematics Education (35%)
11 Oct 2019
5:00 PM
35
  • Online: Submit through Moodle
4. Course Participation
10
  • Online: Moodle Forum Discussion
Assessment Total:     100    
Failing to complete a compulsory assessment component of a paper will result in an IC grade
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Required and Recommended Readings

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Required Readings

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(a) Paper Readings / Ko ngā pānui matua

Paper readings are available online (https://waikato.rl.talis.com/lists/4EC6469D-D3D8-9979-29FA-CBCE36E89F69.html ) and from Waikato Print. You must be fully enrolled to be able to purchase your required readings. Paper readings can be purchased either physically from Waikato Print by handing an order form and your student ID card to staff who will take your payment or you can buy online through the Shopping Mall. The form of payment for an on-line purchase is by credit card and readings will be couriered to you at a cost of $7.00.

The process for purchasing online is by going to:

  1. i.waikato
  2. My tools
  3. Shopping Mall
  4. Select category

a. course readings

b. enter paper name or code

Continue to follow the prompts as in all on-line ordering processes. When submitted, you will receive an automated e-mail confirmation of your order.

(b) Ministry of Education. (2007). The New Zealand curriculum. Wellington, New Zealand: Learning Media.
Download available from: http://nzcurriculum.tki.org.nz/The­New­ Zealand­Curriculum

(c) Ministry of Education. (2008). Te Marautanga o Aotearoa. Wellington, New Zealand: Author.
Download available from: http://www.tmoa.tki.org.nz/TeMarautangaoAotearoa

(d) Ministry of Education. (2011). Tātaiako: Cultural competencies for teachers of Māori learners. Wellington, New Zealand: Learning Media.
Download available from: https://educationcouncil.org.nz/required/Tataiako.pdf

(e) Ministry of Education. (2018). Tapasā: Cultural competencies framework for teachers of Pacific learners. Wellington, New Zealand: Learning Media.
Download available from: https://www.educationcouncil.org.nz/sites/default/files/Tapasa%CC%84.pdf

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Recommended Readings

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Anthony, G. & Walshaw, M. (2007). Effective pedagogy in mathematics/pängarau: Best evidence synthesis iteration [BES]. Wellington: Ministry of Education.

Averill, R., & Harvey, R. (Eds.). (2010). Teaching primary school mathematics and statistics: Evidence-based practice. Wellington: NZCER.

Averill, R. & Harvey, R. (Eds.). (2009). Teaching secondary school mathematics and statistics: Evidence-based practice (Vols. 1 & 2). Wellington: NZCER Press.

Boaler, J. (2015). ​Mathematical mindsets: Unleashing students' potential through creative math, inspiring messages and innovative teaching. San Francisco: John Wiley & Sons.

Lester, F. K. Jr (Ed.), (2007). Second handbook of research on mathematics teaching and learning. Reston, VA: The National Council of Teachers of Mathematics.

Mason, J. (2002). Researching your own practice: The discipline of noticing. London: Routledge.

Pimm, D. (1992). Mathematics, symbols and meanings. Buckingham: Open University Press.

Van de Walle, J. A., Lovin, L. H., Bay­ Williams, J. M., & Karp, K. S. (2014). Teaching student-centered mathematics: Developmentally appropriate instruction for grades 3-­5 (2nd ed.). Boston, MA: Pearson.

Watson, J. M. (2006). Statistical literacy at school: Growth and goals. Mahwah, NJ: Lawrence Erlbaum.

Journals in the Education Library:

There are a number of journals about mathematics education available in the Education Library. An increasing number are also available electronically online. Please use the LibraryLink Databases on the library webpage to search for articles. Ask the Library Information Coach for help if you need it.

Some journals available through the library are:

  • Australian Mathematics Teacher (The)
  • Australian Primary Mathematics Classroom
  • For the Learning of Mathematics:An International Journal of Mathematics Education
  • Mathematics in School
  • Mathematics Teacher (The) (also online from 1996)
  • Mathematics Teaching
  • Mathematics Teaching in the Middle School (also online from 1996)
  • Micromath
  • New Zealand Mathematics Magazine
  • Primary Maths and Science, and its predecessor QMS: Questions of Maths and Science
  • Teachers and Curriculum
  • Teaching Children Mathematics (also online from 1995), and its predecessor The Arithmetic Teacher
  • Mathematics Education Research Journal
  • Journal for Research in Mathematics Education
  • Educational Studies in Mathematics
  • Journal of Mathematical Behaviour
  • Statistics Education Research Journal
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Online Support

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Online resources may be accessed through nzmaths.co.nz and other similar websites. Support is also available from the Student Learning Centre.
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Workload

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This paper is worth 30 points and has an estimated workload of 300 hours.
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Linkages to Other Papers

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This paper is part of the Masters of Education programme and as such links with the other Mathematics Education papers including EDUCA557, Research Methods paper.
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