MTHED502-21A (NET)

Mathematics Education: Enhancing Thinking and Practice

30 Points

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Division of Education
Te Kura Toi Tangata School of Education

Staff

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Convenor(s)

Lecturer(s)

Administrator(s)

: janene.harris@waikato.ac.nz

Placement/WIL 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:
    • For extensions starting with 4: dial +64 7 838 extension.
    • For extensions starting with 5: dial +64 7 858 extension.
    • For extensions starting with 9: dial +64 7 837 extension.
    • For extensions starting with 3: dial +64 7 2620 + the last 3 digits of the extension e.g. 3123 = +64 7 262 0123.
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Paper Description

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This paper looks at how students’ thinking becomes increasingly sophisticated as their mathematical understanding grows. A particular focus of the paper is the ways that learning in mathematics can be enhanced, including using collaborative problem solving, formative assessment and digital technologies effectively. The focus is on learners’ conceptual understanding and the kinds of strategies they use to solve mathematical problems in classrooms and in everyday life. The paper also focuses on how research findings can be used to improve teaching and learning.

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Paper Structure

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Taught primarily through on-line discussion, but with meetings including both zoom and face-to-face options.
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Learning Outcomes

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Students who successfully complete the paper should be able to:

  • explore what mathematical thinking means and how to develop thinking in mathematics
    Linked to the following assessments:
  • focus on developmental changes in mathematical thinking and various frameworks and approaches designed to help teachers assess mathematical understanding.
    Linked to the following assessments:
  • examine collaborative problem solving as a way of enhancing conceptual understanding
    Linked to the following assessments:
  • explore what it means to be an effective teacher of mathematics and how research findings can be used for improving teaching and learning.
    Linked to the following assessments:
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Assessment

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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 1
29 Mar 2021
9:00 PM
25
  • Online: Submit through Moodle
2. Assignment 2
9 Jun 2021
9:00 AM
45
  • Online: Submit through Moodle
3. Assignment 3
29 May 2021
10:00 AM
15
  • Presentation: In Class
4. Assignment 4
14 Jun 2021
4:00 PM
10
  • Online: Submit through Moodle
5. Assignment 5
14 Jun 2021
4:00 PM
5
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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Paper readings are online.

Mathematics Education and general Education Journals, for example:

Teaching Children Mathematics
Mathematics Teaching in the Middle School Australian Mathematics Teacher
Australian Primary Mathematics Classroom Journal for Research in Mathematics Education Educational Studies in Mathematics Mathematics Education Research Journal
For the Learning of Mathematics
Theory into Practice
Digital Experiences in Mathematics Education
Teaching and Teacher Education
School Science and Mathematics
Journal of Mathematics Teacher Education

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Other Resources

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New Zealand websites:
http://www.nzmaths.co.nz (good for all mathematics content strands, problem solving and Numeracy Project. Also PACT).

http://www.tki.org.nz (mathematics, assessment, literacy and numeracy “communities”)

Other websites:
www.eduplace.com/math/brain (good for mathematics problems).

http://www.teachers.ash.org.au/jeather/maths/dictionary.html (mathematics dictionary)

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Online Support

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Online support is available from the lecturer through the course moodle site and the library online support
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Workload

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There is an expected workload of 300 hours in total.
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