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Maher, Nicole; Chick, Helen; Muir, Tracey – Mathematics Education Research Group of Australasia, 2016

Pedagogical content knowledge is widely considered an essential and complex facet of mathematics teacher knowledge, but little research has focused on PCK at the senior secondary level. This study explores some of the complexities of PCK in a teacher's lesson for senior secondary students by analysing data from lesson observation, the teacher's…

Descriptors: Pedagogical Content Knowledge, Secondary School Teachers, Mathematics Instruction, Secondary School Mathematics

MacDonald, Amy; Carmichael, Colin – Mathematics Education Research Group of Australasia, 2016

International research suggests that early mathematical competences predicts later mathematical outcomes. In this paper, we build on our previous study of young children's mathematical competencies (MacDonald & Carmichael, 2015) to explore the relationship between mathematical competencies at 4-5 years, as measured by teacher ratings, and…

Descriptors: Foreign Countries, Longitudinal Studies, Mathematics Instruction, Young Children

Makar, Katie – Mathematics Education Research Group of Australasia, 2016

An empirical study was conducted with the aim to develop teachers' confidence and proficiency with teaching mathematics through inquiry. The study followed 41 primary teachers and compared a regular mathematics lesson to a lesson taught using an inquiry approach; 19 of these teachers were also followed over three years. Lessons were coded on the…

Descriptors: Mathematics Instruction, Teaching Methods, Elementary School Teachers, Elementary School Mathematics

Muir, Tracey – Mathematics Education Research Group of Australasia, 2016

Teachers of senior secondary mathematics are required to contend with a number of challenges including covering the prescribed curriculum, differentiating the content for a range of learners, and preparing students for externally imposed assessment tasks. The flipped classroom is gaining in popularity as an approach that can be used to address…

Descriptors: Mathematics Instruction, Teaching Methods, Technology Uses in Education, Educational Technology

Linsell, Chris; Holmes, Marilyn; Sullivan, Peter – Mathematics Education Research Group of Australasia, 2016

This paper examines the learning by students who were participating in a project designed to promote persistence while working on mathematical tasks. We examined their learning of mathematics concepts and learning about the processes of engaging in mathematical tasks. There were substantial increases in students' knowledge of angles and also…

Descriptors: Foreign Countries, Task Analysis, Mathematics Activities, Science Projects

Miller, Jodie – Mathematics Education Research Group of Australasia, 2016

This paper presents a hypothesised learning trajectory for a Year 3 Indigenous student en route to generalising growing patterns. The trajectory emerged from data collected across a teaching experiment (students n = 18; including a pre-test and three 45-minute mathematics lessons) and clinical interviews (n = 3). A case study of one student is…

Descriptors: Indigenous Populations, Minority Group Students, Case Studies, Pretesting

McMaster, Heather; Cavanagh, Michael – Mathematics Education Research Group of Australasia, 2016

Many primary pre-service teachers (PSTs) who are enthused by tertiary courses that espouse and model a socio-constructivist approach to teaching mathematics, revert to a traditional approach when they encounter mathematics teaching during professional experience. An intervention was designed to translate the initial pedagogical intent of four…

Descriptors: Elementary School Teachers, Preservice Teachers, Mathematics Instruction, Faculty Development

Long, Bernadette – Mathematics Education Research Group of Australasia, 2016

This paper reports on a mathematics intervention initiative, "Prepare 2 Learn," designed taking into account research literature and elements of other successful programs. The program was intended to prepare students for their upcoming mainstream mathematics lessons as well as make them aware of the impact they can have on their own…

Descriptors: Intervention, Mathematics Achievement, Achievement Gains, Sustainability

Mills, Judith – Mathematics Education Research Group of Australasia, 2016

This paper presents findings from classroom observations of one teacher (Beth). It focusses on the development of conceptual understanding of fractions with her students, articulated in Kieren's sub-constructs (Kieren, 1980,1988), and Hansen's progressions (Hansen, 2005). The study covers three lessons within a six week unit. Findings from this…

Descriptors: Fractions, Mathematical Concepts, Mathematics Achievement, Teaching Methods

Lomas, Laurinda; Clarke, Doug – Mathematics Education Research Group of Australasia, 2016

As teaching is a cultural activity embedded in a unique context, professional development opportunities for teachers may be best placed amid the relevance of everyday classroom practice, and supported by an innovative curriculum. This progress paper reports on data collected as part of doctoral research studying the changes in mathematical…

Descriptors: Case Studies, Teacher Competencies, Knowledge Level, Knowledge Base for Teaching

Marcus, Amber; Perry, Bob; Dockett, Sue; MacDonald, Amy – Mathematics Education Research Group of Australasia, 2016

Much is known about preschool children's mathematics learning and the role of play in that learning. Many early childhood educators are quite adept at observing and documenting the mathematics learning of the children in their settings. These teachers "notice" the children's mathematics but they are not the only ones to…

Descriptors: Foreign Countries, Early Childhood Education, Preschool Children, Elementary School Curriculum

Livy, Sharyn; Holmes, Marilyn; Ingram, Naomi; Linsell, Chris; Sullivan, Peter – Mathematics Education Research Group of Australasia, 2016

Highly capable mathematics students are not usually considered strugglers. This paper reports on a case study of a Year 6 student, Debbie, her response to a lesson, and her learning involving a challenging mathematical task. Debbie, usually a highly capable student, struggled to complete a challenging mathematical task by herself, but as the…

Descriptors: Mathematics Instruction, Mathematics Skills, Case Studies, Grade 6

Lowrie, Tom; Logan, Tracy; Ramful, Ajay – Mathematics Education Research Group of Australasia, 2016

Although the psychological literature has demonstrated that spatial reasoning and mathematics performance are correlated, there is scant research on these relationships in the middle years. The current study examined the commonalities and differences in students' performance on instruments that measured three spatial reasoning constructs and two…

Descriptors: Spatial Ability, Mathematics Instruction, Mathematics Achievement, Correlation

McCormick, Melody – Mathematics Education Research Group of Australasia, 2016

Student learning is greatest in classrooms where students engage in problem solving tasks that are cognitively demanding. However, there are growing concerns that many Australian students are given limited opportunities to engage in these types of tasks. 108 upper primary school teachers were surveyed to examine task features and cognitive demand…

Descriptors: Mathematics Instruction, Elementary School Mathematics, Foreign Countries, Problem Solving

McCluskey, Catherine; Mulligan, Joanne; Mitchelmore, Mike – Mathematics Education Research Group of Australasia, 2016

The mathematical proficiencies in the "Australian Curriculum: Mathematics" of understanding, problem solving, reasoning, and fluency are intended to be entwined actions that work together to build generalised understandings of mathematical concepts. A content analysis identifying the incidence of key proficiency terms (KPTs) embedded in…

Descriptors: Foreign Countries, Abstract Reasoning, Thinking Skills, National Curriculum