ETM710 - Knowledge for Teaching Mathematics 7-10: Geometry and Measurement
Unit details
| Year: | 2022 unit information |
|---|---|
| Important Update: | Unit delivery will be in line with the most current COVIDSafe health guidelines. We continue to tailor learning experiences for each unit to achieve the best possible mix of online and on-campus activities that successfully blend our approaches to learning, working and research. Please check your unit sites for announcements and updates. Last updated: 4 March 2022 |
| Enrolment modes: | Trimester 1: Cloud (online) with intensive seminars |
| Credit point(s): | 1 |
| EFTSL value: | 0.125 |
| Unit Chair: | Trimester 1: Jill Brown |
| Cohort rule: | Students must be enrolled in course E515 |
| Prerequisite: | Nil |
| Corequisite: | Nil |
| Incompatible with: | ESM724, ESM725 |
| Typical study commitment: | Students will on average spend 150-hours over the trimester undertaking the teaching, learning and assessment activities for this unit. |
| Scheduled learning activities - cloud: | Time engaging in learning activities is expected to total a combined equivalent of 8-10 hours per week This includes engagement with materials, responses to tasks, independent study and |
Note:This unit is one of four units intended for out-of-field teachers in mathematics who are teaching in the years 7-10. | |
Content
This unit comprises one of four units in the Graduate Certificate of Secondary Mathematics. This unit simultaneously focuses on mathematical content for the learning of Geometry and Measurement in years 7-10 and contemporary teaching and learning approaches that increase Year 7-10 students’ opportunities to learn mathematics. It is informed by relevant research findings and guided by the Victorian Curriculum: Mathematics. Teaching in Years 7-10 necessitates a deep conceptual understanding of the mathematics underpinning Year 7-10 mathematics, the Year 7-10 mathematics content itself, and essential and relevant content beyond Year 7-10. Big ideas that will be included in the focus of this unit include: Comparison, estimation, figures and solids, orientation and location, transformations, measurement, classification, dimension, and proof.
This unit reflects current mathematical pedagogies, such as inquiry-based learning, with a particular emphasis on problem solving and investigation. Approaches include the effective use of multiple representations, digital technologies (including hand-held technologies) and manipulatives. Alternative forms of argumentation, reasoning, and proof are emphasised. Alternative forms of reasoning are used to solve problems and carry out investigations based upon geometry and measurement.
Contemporary ways of teaching and learning Geometry and Measurement will be explored in this unit, with opportunities to develop understanding of school mathematical knowledge, potential difficulties, common mis- and partial conceptions of the relevant content, assessment and the provision of learning activities to maximise learning opportunities.
| ULO | These are the Learning Outcomes (ULO) for this unit. At the completion of this unit, successful students can: | Deakin Graduate Learning Outcomes |
|---|---|---|
| ULO1 | Demonstrate mathematical understanding through solving problems in Geometry and Measurement in multiple ways and articulate mathematical content knowledge for teaching Geometry and Measurement | GLO1: Discipline-specific knowledge and capabilities GLO2: Communication |
| ULO2 | Critically analyse evidence-based literature to identify important pedagogical aspects and approaches to support student learning of Geometry and Measurement, including identifying difficulties students encounter in learning Geometry and Measurement, and communicate these understandings | GLO1: Discipline-specific knowledge and capabilities GLO4: Critical thinking |
| ULO3 | Identify, implement and evaluate worthwhile mathematical tasks in ways that elicit student thinking and problem solving to support deep conceptual understandings of Geometry and Measurement | GLO1: Discipline-specific knowledge and capabilities GLO5: Problem solving |
| ULO4 | Elaborate strategies, including using digital technologies, for developing inquiring, collaborative learners who accept mathematical challenge and persevere during problem solving as members of inclusive classrooms in Geometry and Measurement | GLO1: Discipline-specific knowledge and capabilities GLO3: Digital literacy |
These Unit Learning Outcomes are applicable for all teaching periods throughout the year
Assessment
| Assessment Description | Student output | Grading and weighting (% total mark for unit) | Indicative due week |
|---|---|---|---|
| Assessment 1 – Planning for inquiry-based learning | 2500 words or equivalent | 50% | Week 6 |
| Assessment 2 – Mathematical Investigation | 2500 words or equivalent | 50% | Week 12 |
The assessment due weeks provided may change. The Unit Chair will clarify the exact assessment requirements, including the due date, at the start of the teaching period.
Learning Resource
Further resources will be provided via CloudDeakin site during the study period.
Set readings will be available via Cloud Deakin. Strategies for searching for mathematics education research-based literature will be provides enabling students to source extended readings as required for Assessment Tasks.
You are required to access to digital tools - a hand-held device, (i.e., a graphing calculator is preferable) and other software (e.g., spreadsheet) and online tools. You need to become an expert personal user of digital technologies AND begin to learn how to teach for deep understanding using the digital technologies where appropriate.
Unit Fee Information
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