Open Access. Powered by Scholars. Published by Universities.®

Education Commons

Open Access. Powered by Scholars. Published by Universities.®

Selected Works

Mathematics

Discipline
Publication Year
Publication
File Type

Articles 1 - 30 of 135

Full-Text Articles in Education

Process Over Product: It's More Than An Equation, Lorraine Day, Derek Hurrell Aug 2019

Process Over Product: It's More Than An Equation, Lorraine Day, Derek Hurrell

Derek Hurrell

Developing number and algebra together provide opportunities for searching for patterns, conjecturing, justifying, and generalising mathematical relationships. It allows the focus to be on the process of mathematics and noticing the structure of arithmetic, rather than the product of arriving at a correct answer. Two of the big ideas in mathematics are multiplicative thinking and algebraic reasoning. By noticing the structure of multiplicative situations, students will be in a position to reason algebraically, and the process of reasoning algebraically will allow students to appreciate the value of thinking multiplicatively rather than additively.


I'M Proud To Be A Toy Teacher: Using Cra To Become An Even More Effective Teacher, Derek Hurrell Aug 2019

I'M Proud To Be A Toy Teacher: Using Cra To Become An Even More Effective Teacher, Derek Hurrell

Derek Hurrell

The role of manipulative materials in mathematics can be a contentious one. It seems that in the mind of some teachers, manipulatives are fine in the early years but have no place in a rigorous maths classroom as the students get older. It is a topic worth our consideration.


A Survey Of Significant Developments In Undergraduate Mathematics Education Over The Past Decade, Ron Buckmire Dec 2018

A Survey Of Significant Developments In Undergraduate Mathematics Education Over The Past Decade, Ron Buckmire

Ron Buckmire

This article is a survey of responses to the question “What are the most significant
results, events, or developments in undergraduate mathematics education of the last decade?” by prominent members of the mathematics and matthematics education community.


Stem Down The Track: Two Christian Schools' Further Experiences, Peter W. Kilgour, Phil Fitzsimmons, Tieren Kilgour, Jennifer Merriman Jun 2018

Stem Down The Track: Two Christian Schools' Further Experiences, Peter W. Kilgour, Phil Fitzsimmons, Tieren Kilgour, Jennifer Merriman

Peter Kilgour

Students’ perceptions of what STEM is and

how it has been implemented in their schools

is reported in this paper. Students were asked

in focus groups about what STEM is and how

they had seen the progress their two respective

schools had made in its implementation. The

data showed that students were very familiar

with what STEM is and how it was developing

in their schools. While younger students

enjoyed the fun and the challenge, secondary

students could see the potential for the STEM

they are doing at school to help in their future

employment. Another interesting factor revealed

in ...


Encouraging Literacy And Mathematics Achievement Through Study Of Real Estate, Ryan Andrew Nivens, Lori T. Meier, Karin J. Keith, Erin E. Doran, Edward J. Dwyer Nov 2017

Encouraging Literacy And Mathematics Achievement Through Study Of Real Estate, Ryan Andrew Nivens, Lori T. Meier, Karin J. Keith, Erin E. Doran, Edward J. Dwyer

Karin Keith

The era of high stakes testing often puts pressure on teachers and administrators to deemphasize creative activities not perceived as directly related to improving test scores. Alternatively, the authors propose that using environmental text is essential for encouraging overall learning competencies in general and reading/writing/ and mathematical achievement in particular. The authors propose that using real estate booklets can be helpful in generating learning activities in literacy, social studies, and mathematics. In addition, integrating music and art comfortably accompanies strategies presented. Real estate booklets are colorful, rich in content, and readily available at no expense.


It Doesn’T Feel Like A Job To Learn: Hispanic Preservice Teachers’ Perceptions Of Dance-Themed Mathematics Education, William H. Robertson Nov 2017

It Doesn’T Feel Like A Job To Learn: Hispanic Preservice Teachers’ Perceptions Of Dance-Themed Mathematics Education, William H. Robertson

William H. Robertson

A series of dance activities were introduced to preservice teachers (n  = 76) to help them understand how mathematics concepts could be associated with dance performance and choreography processes. A total of 468 pieces of qualitative data were collected, including 147 online discussion entries with 248 follow-up 10 comments, and 73 individual reflection essays. The main themes for the various benefits that emerged across the preservice teachers’  reflections were: (1) improving students’  dispositions toward mathematics and creating an enjoyable learning environment for reducing mathematics anxiety; (2) allowing students to develop their creativity and allowing teachers to meet different students’  needs; and ...


Reducing Mathematics Anxiety, Catherine Pearn Oct 2017

Reducing Mathematics Anxiety, Catherine Pearn

Catherine Pearn

Catherine Pearn discusses how to approach maths anxiety in the classroom. The symptoms of mathematics anxiety vary from expressing a dislike of mathematics to an adult who had to exit a lecture theatre in a hurry when numbers are displayed on a screen.


Teaching The Strand Of Ccss Slope Through Metacognition In Middle School, High School, And Advanced Placement Mathematics, Sara Snarr Sep 2017

Teaching The Strand Of Ccss Slope Through Metacognition In Middle School, High School, And Advanced Placement Mathematics, Sara Snarr

Sara Snarr

The strand of slope presents every year from 7th grade through Advanced Placement Calculus. The Common Core Learning Standards require and encourage a thorough understanding of slope and slope-related concepts such as unit rate, parallel and perpendicular lines, and the derivative. Unfortunately, many secondary mathematics teachers struggle to teach students to monitor their process and conceptualize an overall strategy for solving complex and fundamental problems. This thesis examines the role of metacognition-focused instruction on achievement, and offers research-supported teaching methods in the context of slope and unit rate that support metacognition. These methods are then presented in a series of ...


Encouraging Literacy And Mathematics Achievement Through Study Of Real Estate, Ryan Andrew Nivens, Lori T. Meier, Karin J. Keith, Erin E. Doran, Edward J. Dwyer May 2017

Encouraging Literacy And Mathematics Achievement Through Study Of Real Estate, Ryan Andrew Nivens, Lori T. Meier, Karin J. Keith, Erin E. Doran, Edward J. Dwyer

Ryan Andrew Nivens

The era of high stakes testing often puts pressure on teachers and administrators to deemphasize creative activities not perceived as directly related to improving test scores. Alternatively, the authors propose that using environmental text is essential for encouraging overall learning competencies in general and reading/writing/ and mathematical achievement in particular. The authors propose that using real estate booklets can be helpful in generating learning activities in literacy, social studies, and mathematics. In addition, integrating music and art comfortably accompanies strategies presented. Real estate booklets are colorful, rich in content, and readily available at no expense.


A Comparison Of Two Job Offers In Mathematics Education, Ryan Andrew Nivens May 2017

A Comparison Of Two Job Offers In Mathematics Education, Ryan Andrew Nivens

Ryan Andrew Nivens

Many job seekers in higher education are unaware of how large a discrepancy there can be in terms of financial potential for mathematics education jobs in higher education. Recent research on this topic has focused on the base salary (Reys, Reys, & Estapa, 2013), but other financial factors have been left unstudied. Through two cases, the researcher demonstrates a large gap that exists in net pay when major financial factors beyond base salary are considered, specifically insurance and retirement benefits. This article will spur conversations among faculty and graduate students in mathematics education doctoral programs allowing mentors to draw from their ...


Work Integrated Learning In Stem In Australian Universities: Final Report: Submitted To The Office Of The Chief Scientist, Daniel Edwards, Kate Perkins, Jacob Pearce, Jennifer Hong Feb 2017

Work Integrated Learning In Stem In Australian Universities: Final Report: Submitted To The Office Of The Chief Scientist, Daniel Edwards, Kate Perkins, Jacob Pearce, Jennifer Hong

Kate Perkins

The Australian Council for Educational Research (ACER) undertook this study for the Office of the Chief Scientist (OCS). It explores the practice and application of Work Integrated Learning (WIL) in STEM, with a particular focus on natural and physical sciences, information technology, and agriculture departments in Australian universities. The project involved a detailed ‘stocktake’ of WIL in practice in these disciplines, with collection of information by interview, survey instruments, consultation with stakeholders and literature reviews. Every university in Australia was visited as part of this project, with interviews and consultation sessions gathering insight from more than 120 academics and support ...


Getting On Board With The Stem Revolution: Two Christian Schools’ Experiences, Peter W. Kilgour, Phil Fitzsimmons, Vanessa Baywood, Jennifer Merriman Dec 2016

Getting On Board With The Stem Revolution: Two Christian Schools’ Experiences, Peter W. Kilgour, Phil Fitzsimmons, Vanessa Baywood, Jennifer Merriman

Peter Kilgour

No abstract provided.


The Relationship Between High-School Mathematics Teachers' Beliefs And Their Practices In Regards To Intellectual Quality, Jonathan L. Brendefur, Michelle B. Carney Sep 2016

The Relationship Between High-School Mathematics Teachers' Beliefs And Their Practices In Regards To Intellectual Quality, Jonathan L. Brendefur, Michelle B. Carney

Michele Carney

This study examines the relationship between mathematics teachers’ beliefs and instructional practices related to learning, pedagogy, and mathematics in regards to components of intellectual quality for eight high-school mathematics teachers. Research has demonstrated that the higher the degree of intellectual quality for instruction is rated the higher student achievement is on standardized assessments. The findings in this study demonstrate a consistent pattern between teachers espoused beliefs and their instructional practices. Even though teachers’ practices changed as they wrote curricular units to be more in line with intellectual quality characteristics, their beliefs stayed consistent over an 18 month period and were ...


Mathematics Uncovered Through Action Science, William H. Robertson May 2016

Mathematics Uncovered Through Action Science, William H. Robertson

William H. Robertson

In an event-based series of on-site activities with high school students through an Action Science approach, fundamental concepts were explored including the foundations for functions, geometric think and spatial reasoning, the development of mathematical models, as well as techniques for working with spatial figures to understand underlying relationships. The activities in which students participated were designed to teach fundamental mathematics concepts in algebra and geometry in an approach that utilized transformative educational strategies, which helped students move from memorizing facts and content to constructing knowledge in meaningful and useful manners. With an emphasis on a collaborative data collection process, students ...


A Framework For Categorising Mobile Applications In Mathematics Education, Boris Handal, Joe El-Khoury, Chris Campbell, Michael Cavanagh May 2016

A Framework For Categorising Mobile Applications In Mathematics Education, Boris Handal, Joe El-Khoury, Chris Campbell, Michael Cavanagh

Boris Handal

New learning technologies have brought fresh challenges to teachers in selecting appropriate educational resources, particularly in regards to mobile devices. There are an impressive number of educational mobile learning applications, more commonly known as apps, that teachers need to understand before integrating them into the classroom. To make this process more effective, educational apps can be categorised according to their specific role in the teaching and learning of mathematics along with their media richness. A framework of nine distinct categories of apps emerged, grouped into three main clusters, namely, investigative, productivity and instructive tools. The framework was validated with examples ...


Preparing Secondary Mathematics Teachers: A Review Of Research, Gregory Hine May 2016

Preparing Secondary Mathematics Teachers: A Review Of Research, Gregory Hine

Gregory S.C. Hine

The international literature base concerning the preparation of pre-service secondary mathematics teachers has grown steadily over the past two decades, yet there appears to be no consensus on a best practice approach. A review of three research projects (2 American; 1 Australian) that focus on different aspects of secondary mathematics teacher preparation provides consideration for universitieswishing to strengthen existing programs.


An Explanation For The Use Of Arrays To Promote The Understanding Of Mental Strategies For Multiplication, Lorraine Day, Derek Hurrell May 2016

An Explanation For The Use Of Arrays To Promote The Understanding Of Mental Strategies For Multiplication, Lorraine Day, Derek Hurrell

Derek Hurrell

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.


From Arrays To Algebra, Lorraine Day May 2016

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 May 2016

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 May 2016

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.


Statewide Mathematics Professional Development: Teacher Knowledge, Self-Efficacy, And Beliefs, Michele B. Carney, Jonathan L. Brendefur, Keith Thiede, Gwyneth Hughes, John Sutton Feb 2016

Statewide Mathematics Professional Development: Teacher Knowledge, Self-Efficacy, And Beliefs, Michele B. Carney, Jonathan L. Brendefur, Keith Thiede, Gwyneth Hughes, John Sutton

Michele Carney

We examined the impact of a state mandated K-12 mathematics professional development course on knowledge, self-efficacy and beliefs of nearly 4,000 teachers and administrators. Participants completed the Mathematical Thinking for Instruction course, emphasizing student thinking, problem-solving, and content knowledge specific to mathematics instruction. Inventories utilizing items fromthe Learning Mathematics for Teaching project (2005) measured changes in participants’ Mathematical Knowledge for Teaching (MKT) and an end-of-course self-evaluation enabled analysis of changes in MKT, self-efficacy and beliefs. Statistically significant changes were found in all three variables. This study adds to our understanding of the potential usefulness of mandating professional development as ...


Tracie Salinas.Jpg, Tracie Mclemore Salinas Dec 2015

Tracie Salinas.Jpg, Tracie Mclemore Salinas

Dr. Tracie McLemore Salinas

No abstract provided.


How Can Teachers Use Video Games To Teach Their Students Mathematics?, Jeremiah I. Holden, C. Williams Nov 2015

How Can Teachers Use Video Games To Teach Their Students Mathematics?, Jeremiah I. Holden, C. Williams

Remi Holden

Imagine a veteran mathematics educator eager to refine her practice. Alternatively, what of the first-year teacher confident in her ability to adapt new technologies to communicate, problem-solve, and share information. How might either identify what makes video games and gameplay effective in a mathematics classroom? What are the advantages of game-based learning in contrast to more traditional instructional strategies, and can pitfalls be avoided, successes recognized, and challenges mitigated? We recommend:

  • Investigating online resources and communities, including GameDesk's Educade , Common Sense Media's Graphite , MinecraftEdu , and Playful Learning to find teacher-recommended games;
  • Playing game demos, envisioning how students' play ...


Png Curriculum Reform Implementation Project : Implementation Project Report On The Pilot Curriculum Standards Monitoring Test, Chris Freeman, Prue Anderson, George Morgan Sep 2015

Png Curriculum Reform Implementation Project : Implementation Project Report On The Pilot Curriculum Standards Monitoring Test, Chris Freeman, Prue Anderson, George Morgan

Prue Anderson

This report presents an analysis of the test data from the Curriculum Standards Monitoring Test (CSMT) Pilot program, conducted in 2003 - 2004. It has been prepared by the Australian Council for Educational Research (ACER) on behalf of the Department of Education (DoE), with the support of the Curriculum Reform Implementation Project (CRIP). The terms of reference for the pilot CSMT required ACER and Curriculum Development Division (CDD) to conduct an assessment of PNG student achievements in literacy and numeracy in Grades 3, 4, 5 and 8 against the then current curriculum, taking into account also the outcomes of the new ...


Work Integrated Learning In Stem In Australian Universities: Final Report: Submitted To The Office Of The Chief Scientist, Daniel Edwards, Kate Perkins, Jacob Pearce, Jennifer Hong Sep 2015

Work Integrated Learning In Stem In Australian Universities: Final Report: Submitted To The Office Of The Chief Scientist, Daniel Edwards, Kate Perkins, Jacob Pearce, Jennifer Hong

Dr Daniel Edwards

The Australian Council for Educational Research (ACER) undertook this study for the Office of the Chief Scientist (OCS). It explores the practice and application of Work Integrated Learning (WIL) in STEM, with a particular focus on natural and physical sciences, information technology, and agriculture departments in Australian universities. The project involved a detailed ‘stocktake’ of WIL in practice in these disciplines, with collection of information by interview, survey instruments, consultation with stakeholders and literature reviews. Every university in Australia was visited as part of this project, with interviews and consultation sessions gathering insight from more than 120 academics and support ...


Work Integrated Learning In Stem In Australian Universities: Final Report: Submitted To The Office Of The Chief Scientist, Daniel Edwards, Kate Perkins, Jacob Pearce, Jennifer Hong Sep 2015

Work Integrated Learning In Stem In Australian Universities: Final Report: Submitted To The Office Of The Chief Scientist, Daniel Edwards, Kate Perkins, Jacob Pearce, Jennifer Hong

Dr Jacob Pearce

The Australian Council for Educational Research (ACER) undertook this study for the Office of the Chief Scientist (OCS). It explores the practice and application of Work Integrated Learning (WIL) in STEM, with a particular focus on natural and physical sciences, information technology, and agriculture departments in Australian universities. The project involved a detailed ‘stocktake’ of WIL in practice in these disciplines, with collection of information by interview, survey instruments, consultation with stakeholders and literature reviews. Every university in Australia was visited as part of this project, with interviews and consultation sessions gathering insight from more than 120 academics and support ...


Describing State Level Mathematical Growth Using The Student Growth Percentile (Sgp) Methodology, Darin C. Kelberlau Aug 2015

Describing State Level Mathematical Growth Using The Student Growth Percentile (Sgp) Methodology, Darin C. Kelberlau

Darin C Kelberlau

The purpose of this study was to describe growth in student mathematics performance at the student and group levels as measured by the statewide mathematics test in Nebraska. Student groupings analyzed for differences in growth patterns were cohorts (elementary and middle school aged students), growth categories, grade levels, gender, ethnicity, students receiving special education (SPED) services, students receiving support services due to English not being their native language (ELL). Building differences were defined by average number of students per grade level (size), levels of student performance, levels of students receiving SPED services, and levels of students receiving ELL services. The ...


Towards Excellence In Mathematics Teaching: Forging Links Between National Curriculum And Professional Standards Initiatives, Hilary Hollingsworth, Catherine Pearn Jul 2015

Towards Excellence In Mathematics Teaching: Forging Links Between National Curriculum And Professional Standards Initiatives, Hilary Hollingsworth, Catherine Pearn

Catherine Pearn

No abstract provided.


What International Surveys Tell Us About Australians' Mathematical Foundations, Dave Tout, James Spithill Jul 2015

What International Surveys Tell Us About Australians' Mathematical Foundations, Dave Tout, James Spithill

David (Dave) Tout

This presentation will look at some key messages from the Australian results of the Program for International Student Assessment (PISA) and the Programme for the International Assessment of Adult Competencies (PIAAC), both released at the end of 2013. PISA assessed the mathematical literacy of 15 year-olds around Australia, whilst PIAAC assessed the numeracy proficiency of adults aged 15–74. What do the two surveys assess and are they telling a similar story? How solid are Australia’s mathematical foundations and what do they say about teaching and learning? How do Australia’s results compare internationally with those leading the field ...


Collaborating To Improve Inquiry-Based Teaching In Elementary Science And Mathematics Methods Courses, Paula A. Magee, Ryan Flessner Jun 2015

Collaborating To Improve Inquiry-Based Teaching In Elementary Science And Mathematics Methods Courses, Paula A. Magee, Ryan Flessner

Ryan Flessner

This study examines the effect of promoting inquiry-based teaching (IBT) through collaboration between a science methods course and mathematics methods course in an elementary teacher education program. During the collaboration, preservice elementary teacher (PST) candidates experienced 3 different types of inquiry as a way to foster increased understanding of inquiry based teaching (IBT). The experiences included a PST driven science inquiry and a mathematics inquiry where PSTs were learners and a science inquiry where PSTs were teachers. During and following the semester of the collaboration, data were collected to assess the impact of the inquiry experiences on the PSTs’ understanding ...