Faculty of Education and Arts
School: Education
This unit information may be updated and amended immediately prior to semester. To ensure you have the correct outline, please check it again at the beginning of semester.
Unit Title
Transition Mathematics: Geometric Thinking for Years 5 to 8Unit Code
MPE5262Year
2015Enrolment Period
1Version
1Credit Points
15Full Year Unit
N
Mode of Delivery
On Campus
Description
This unit is designed to equip student teachers with the necessary skills to become mathematics specialists in their schools, particularly in upper primary. As well as building an understanding of the primary to secondary education transition, students will build competence in the fundamental geometric and measurement concepts that need to be established by primary children before they may successfully embark on more abstract geometric concepts in their early secondary years.
Equivalent Rule
Unit was previously coded MPE4262
Learning Outcomes
On completion of this unit students should be able to:
- Analyse the importance of Pythagorean and simple trigonometric concepts to the secondary students understanding of everyday mathematics applications.
- Critically reflect on the importance of geometric concepts to overall mathematical success in secondary school.
- Demonstrate a clear understanding of the links between late primary geometric and measurement work and the expectations in lower secondary school mathematics.
- Demonstrate, and use in lesson preparation, some personal understanding of simple circle geometry, Pythagorean ideas, very basic trigonometry, and similarity and congruence principles.
- Describe the importance of scale factor and similarity to the secondary students' understanding of everyday mathematics applications.
- Explain the scope and sequence and expectations of the Australian Curriculum for mathematics in regard to relevant geometry and measurement concepts in Years 6, 7, 8 and 9.
Unit Content
- MODULE 1: Upper primary geometric thinking (Focus on Years 5 and 6) Similarity, congruence, and two-dimensional shapes. Scale factor and two and three dimensional geometric shapes, and practical contexts; Areas of triangles, composite 2D geometric shapes, and circles. Examination of some mathematics website resources for teaching geometry and measurement concepts. How geometric ideas are articulated and supported in these years in the Australian Curriculum.
- MODULE 2: Lower secondary geometric concepts (Focus on Years 7 and 8) Building geometric understanding using multiple strategies. The Theorem of Pythagoras for simply numbered triangle sides, and practical contexts. Simple trigonometric ratios (sine, cosine and tangent) in right-angled triangles, and practical contexts. Archimedes and the number "pi" (and circle circumference), and simple circle geometry involving angles, radii, and chords. How geometric ideas are articulated and supported in these years in the Australian Curriculum.
Additional Learning Experience Information
Blackboard documents and materials, Collaborative group work and discussion, Professional reading, Independent study, Use of multi-media technology.
Assessment
GS1 GRADING SCHEMA 1 Used for standard coursework units
Students please note: The marks and grades received by students on assessments may be subject to further moderation. All marks and grades are to be considered provisional until endorsed by the relevant Board of Examiners.
ON CAMPUS| Type | Description | Value |
|---|
| Project | Year 6/7 extension geometry task | 50% |
| Assignment | Year 6/7 extension measurement task | 50% |
Text References
- Brookes, M., & Charlesworth, M. (Ed.), (2000). Working mathematically with space: Levels 5 to 7. Perth: The Mathematical Association of Western Australia.
- Evans, M. (2012.) ICE-EM mathematics, Year 7: Australian curriculum edition. Cambridge Education, Australia and New Zealand.
- Ostberg, M., & Charlesworth, M. (Ed.). (2000). Working mathematically with measurement: Levels 5 to 7. Perth: The Mathematical Association of Western Australia.
- Ormond, C., & Konza, D. (2009.) Special education resources for teachers: Maths. NSW: David Barlow Publishing.
Journal References
- The Australian Mathematics Teacher
Website References
Disability Standards for Education (Commonwealth 2005)
For the purposes of considering a request for Reasonable Adjustments under the Disability Standards for Education (Commonwealth 2005), inherent requirements for this subject are articulated in the Unit Description, Learning Outcomes and Assessment Requirements of this entry. The University is dedicated to provide support to those with special requirements. Further details on the support for students with disabilities or medical conditions can be found at the Access and Inclusion website.
Academic Misconduct
Edith Cowan University has firm rules governing academic misconduct and there are substantial penalties that can be applied to students who are found in breach of these rules. Academic misconduct includes, but is not limited to:
- plagiarism;
- unauthorised collaboration;
- cheating in examinations;
- theft of other students' work;
Additionally, any material submitted for assessment purposes must be work that has not been submitted previously, by any person, for any other unit at ECU or elsewhere.
The ECU rules and policies governing all academic activities, including misconduct, can be accessed through the ECU website.
MPE5262|1|1
Faculty of Education and Arts
School: Education
This unit information may be updated and amended immediately prior to semester. To ensure you have the correct outline, please check it again at the beginning of semester.
Unit Title
Transition Mathematics: Geometric Thinking for Years 5 to 8Unit Code
MPE5262Year
2015Enrolment Period
2Version
1Credit Points
15Full Year Unit
N
Mode of Delivery
On Campus
Online
Description
This unit is designed to equip student teachers with the necessary skills to become mathematics specialists in their schools, particularly in upper primary. As well as building an understanding of the primary to secondary education transition, students will build competence in the fundamental geometric and measurement concepts that need to be established by primary children before they may successfully embark on more abstract geometric concepts in their early secondary years.
Equivalent Rule
Unit was previously coded MPE4262
Learning Outcomes
On completion of this unit students should be able to:
- Analyse the importance of Pythagorean and simple trigonometric concepts to the secondary students understanding of everyday mathematics applications.
- Critically reflect on the importance of geometric concepts to overall mathematical success in secondary school.
- Demonstrate a clear understanding of the links between late primary geometric and measurement work and the expectations in lower secondary school mathematics.
- Demonstrate, and use in lesson preparation, some personal understanding of simple circle geometry, Pythagorean ideas, very basic trigonometry, and similarity and congruence principles.
- Describe the importance of scale factor and similarity to the secondary students' understanding of everyday mathematics applications.
- Explain the scope and sequence and expectations of the Australian Curriculum for mathematics in regard to relevant geometry and measurement concepts in Years 6, 7, 8 and 9.
Unit Content
- MODULE 1: Upper primary geometric thinking (Focus on Years 5 and 6) Similarity, congruence, and two-dimensional shapes. Scale factor and two and three dimensional geometric shapes, and practical contexts; Areas of triangles, composite 2D geometric shapes, and circles. Examination of some mathematics website resources for teaching geometry and measurement concepts. How geometric ideas are articulated and supported in these years in the Australian Curriculum.
- MODULE 2: Lower secondary geometric concepts (Focus on Years 7 and 8) Building geometric understanding using multiple strategies. The Theorem of Pythagoras for simply numbered triangle sides, and practical contexts. Simple trigonometric ratios (sine, cosine and tangent) in right-angled triangles, and practical contexts. Archimedes and the number "pi" (and circle circumference), and simple circle geometry involving angles, radii, and chords. How geometric ideas are articulated and supported in these years in the Australian Curriculum.
Additional Learning Experience Information
Blackboard documents and materials, Collaborative group work and discussion, Professional reading, Independent study, Use of multi-media technology.
Assessment
GS1 GRADING SCHEMA 1 Used for standard coursework units
Students please note: The marks and grades received by students on assessments may be subject to further moderation. All marks and grades are to be considered provisional until endorsed by the relevant Board of Examiners.
ON CAMPUS| Type | Description | Value |
|---|
| Project | Year 6/7 extension geometry task | 50% |
| Assignment | Year 6/7 extension measurement task | 50% |
Text References
- Brookes, M., & Charlesworth, M. (Ed.), (2000). Working mathematically with space: Levels 5 to 7. Perth: The Mathematical Association of Western Australia.
- Evans, M. (2012.) ICE-EM mathematics, Year 7: Australian curriculum edition. Cambridge Education, Australia and New Zealand.
- Ostberg, M., & Charlesworth, M. (Ed.). (2000). Working mathematically with measurement: Levels 5 to 7. Perth: The Mathematical Association of Western Australia.
- Ormond, C., & Konza, D. (2009.) Special education resources for teachers: Maths. NSW: David Barlow Publishing.
Journal References
- The Australian Mathematics Teacher
Website References
Disability Standards for Education (Commonwealth 2005)
For the purposes of considering a request for Reasonable Adjustments under the Disability Standards for Education (Commonwealth 2005), inherent requirements for this subject are articulated in the Unit Description, Learning Outcomes and Assessment Requirements of this entry. The University is dedicated to provide support to those with special requirements. Further details on the support for students with disabilities or medical conditions can be found at the Access and Inclusion website.
Academic Misconduct
Edith Cowan University has firm rules governing academic misconduct and there are substantial penalties that can be applied to students who are found in breach of these rules. Academic misconduct includes, but is not limited to:
- plagiarism;
- unauthorised collaboration;
- cheating in examinations;
- theft of other students' work;
Additionally, any material submitted for assessment purposes must be work that has not been submitted previously, by any person, for any other unit at ECU or elsewhere.
The ECU rules and policies governing all academic activities, including misconduct, can be accessed through the ECU website.
MPE5262|1|2
