Open Access. Powered by Scholars. Published by Universities.®
- Keyword
-
- Mathematics (3)
- Mathematical proficiencies (2)
- Secondary mathematics (2)
- Arrays (1)
- Contextualised learning (1)
-
- Curriculum (1)
- Fractions (1)
- Games in mathematics education (1)
- Higher mathematics (1)
- ICT (1)
- ICT integration (1)
- Intermediate mathematics (1)
- Mathematical reasoning (1)
- Mathematical statistics (1)
- Mathematics teaching (1)
- Mental computation (1)
- Multiplication (1)
- Pre-service teachers (1)
- Primary (1)
- Primary school teaching (1)
- Probability (1)
- Proportional reasoning (1)
- Reasoning in children (1)
- Secondary (1)
- Self-perception in children (1)
- Statistics (1)
- Students - legal status (1)
- Students - psychology (1)
- TPACK (1)
- Teacher-student relationships (1)
Articles 1 - 10 of 10
Full-Text Articles in Education
Developing Proportional Reasoning, Derek Hurrell, Lorraine Day
Developing Proportional Reasoning, Derek Hurrell, Lorraine Day
Lorraine Day
Proportional reasoning is one of the big mathematical ideas students will encounter. It applies to a wide range of contexts across all of the content strands and is considered a critical concept for success in secondary mathematics. It requires an ability to think multiplicatively and relationally, and is often problematic for students.
Purposeful Statistical Investigations, Lorraine Day
Purposeful Statistical Investigations, Lorraine Day
Lorraine Day
Lorraine Day provides us with a great range of statistical investigations using various resources such as maths300 and TinkerPlots. Each of the investigations link mathematics to students' lives and provide engaging and meaningful contexts for mathematical inquiry.
The Reasoning Proficiency, Lorraine Day, Derek Hurrell
The Reasoning Proficiency, Lorraine Day, Derek Hurrell
Lorraine Day
If students are to reason mathematically, they need to be engaged in mathematically rich, investigative tasks that allow them to explain their thinking, justify the strategies they use and the conclusions they reach, and adapt the known to the unknown. 1he importance of contextualised Learning should be highlighted so students may be encouraged to transfer their learning from one context to another, explain their choices within a context, and compare and contrast related ideas. 1he reasoning proficiency naturally interrelates with the understanding, problem solving and fluency proficiencies.v
The Importance Of Fractions In Being A Successful Mathematics Student, Derek Hurrell, Lorraine Day
The Importance Of Fractions In Being A Successful Mathematics Student, Derek Hurrell, Lorraine Day
Lorraine Day
Research and experience tells us that fractions are not easy to teach and learn and that a solid conceptual understanding of fractions has far reaching ramifications in the secondary mathematics classroom. A failure to acknowledge and remediate 'inherited' challenges to this understanding may result in the further success of students being severely impeded.
Conceptualising Changes To Pre-Service Teachers’ Knowledge Of How To Best Facilitate Learning In Mathematics: A Tpack Inspired Initiative, Frank G. Bate, Lorraine Day, Jean Macnish
Conceptualising Changes To Pre-Service Teachers’ Knowledge Of How To Best Facilitate Learning In Mathematics: A Tpack Inspired Initiative, Frank G. Bate, Lorraine Day, Jean Macnish
Lorraine Day
In 2010, the Australian Commonwealth government initiated an $8m project called Teaching Teachers for the Future. The aim of the project was to engage teacher educators in a professional learning network which focused on optimising exemplary use of information and communications technologies in teacher education. By taking part in this network, participants were afforded opportunities to transform their practice through a range of localised initiatives that applied information and communications technologies to the art and science of teaching and learning. One of these initiatives involved re-engineering a university mathematics unit targeted at pre-service teachers. Information and communications technologies were purposefully …
Using Statistics To Explore Cross-Curricular And Social Issues Opportunities, Lorraine Day
Using Statistics To Explore Cross-Curricular And Social Issues Opportunities, Lorraine Day
Lorraine Day
The area of statistics is one in which teachers may be encouraged to make important links to other curriculum areas and social issues. Statistical literacy is a key component of being numerate and living as an informed citizen. The teaching of statistics provides an opportunity to inform and educate students about social issues and moral behaviour, as well as reinforcing the links between mathematics and other areas of study. The Australian Curriculum: Mathematics (ACM) (ACARA, 2013b) states “Mathematics is composed of multiple but interrelated and interdependent concepts and systems which students apply beyond the mathematics classroom” (p. 1). In no …
Learning Environments That Support The Development Of Multiplicative Thinking, Derek Hurrell, Lorraine Day
Learning Environments That Support The Development Of Multiplicative Thinking, Derek Hurrell, Lorraine Day
Lorraine Day
Given the right learning environment primary aged children can and do develop the capacity to think multiplicatively. Through vignettes taken from interviews with a Year 5 class during a research project, the optimal conditions for the conceptual development underpinning multiplicative thinking is examined.
From Arrays To Algebra, Lorraine Day
From Arrays To Algebra, Lorraine Day
Lorraine Day
By identifying the learning experiences that need to be developed in the primary school, and how secondary teachers can build on these experiences, ensures solid algebraic understanding and a smooth transition between primary and secondary mathematics. Using concrete materials, within a concrete-representational-abstract pedagogical approach, may be seen as one among many methods that contribute to the overall process of developing algebraic skills. Linking an area-based model to previous understandings involving numbers should assist the conceptual understanding of algebraic expansion and factorisation to ensure that students are not just fluent in algebraic manipulation but also understand how the processes work.
Australian Curriculum Linked Lessons: Reasoning In Number And Algebra, Lorraine Day
Australian Curriculum Linked Lessons: Reasoning In Number And Algebra, Lorraine Day
Lorraine Day
In the Australian Curriculum: Mathematics "Number and Algebra are developed together as each enriches the study of the other". The content strands indicate what students should be learning and the proficiency strands indicate the types of learning experiences students should be exposed to in order to learn the content. Most of the content descriptors in Years F-6 algebra refer to a progression of patterning and finding unknowns in number sentences. We could see from this that there are two major themes running through the curriculum; that of patterns and relationships, and that of equations and expressions. These two aspects of …
An Explanation For The Use Of Arrays To Promote The Understanding Of Mental Strategies For Multiplication, Lorraine Day, Derek Hurrell
An Explanation For The Use Of Arrays To Promote The Understanding Of Mental Strategies For Multiplication, Lorraine Day, Derek Hurrell
Lorraine Day
This article provides a convincing argument for using arrays to promote students’ understandings of mental computation strategies for multiplication. Also a range of different examples that illustrate the benefits of arrays in the primary classroom are provided.