Teacher Education and Professional Development Commons^™

Understanding Primary Level Learner Progression In Scotland: Insights From Scottish Online Formative Assessments (Sofa) Data From The Highland Local Authority, Alexander Towne, Sladana Krstic

Assessment and Reporting

This report presents findings from more than 30,000 Scottish Online Formative Assessment (SOFA) assessments completed across one Scottish local authority during the 2024-2025 academic year. It demonstrates how SOFA can be used to monitor learning progression across numeracy, reading and writing, identify attainment gaps between learner groups, and provide detailed diagnostic evidence to support classroom practice, school improvement and local authority panning. Although based on a single local authority, the study illustrates how curriculum-aligned formative assessment can complement national assessment evidence by providing richer insight into learner development.

Supporting Students’ Self-Efficacy And Motivation In The Mathematics Classroom, Audrie H. Cox

Masters Projects

This project examines the role of mathematics self-efficacy in supporting student motivation, engagement, and achievement in secondary mathematics classrooms. Through a review of current research, the project identifies instructional practices that strengthen students' confidence in their mathematical abilities, including formative assessments, meaningful feedback, supportive teacher-student relationships, and opportunities for productive struggle. Drawing on these findings, a professional development workshop session was developed to equip secondary mathematics teachers with practical, research-based strategies that promote positive mathematics self-efficacy and improve overall classroom instruction. By translating research into actionable teaching practices, this project aims to support more confident, motivated, and successful mathematics learners.

Exploring Student And Teacher Perceptions Of Building Thinking Classrooms In Secondary Mathematics, Savanna Wolff

Masters of Education in Teaching and Learning

This action research study examined the perceived impact of a Building Thinking Classrooms framework on student engagement and participation in small-group discussion. The guiding research question explored both student and teacher perceptions of how the framework influenced classroom engagement. Data was collected through surveys, one-on-one interviews, focus group interviews, and classroom observations over a four-week period. Qualitative analysis identified four key themes: student agency and mathematical identity; mathematical communication and thinking; collaboration and group dynamics; and learning environment, structure, and engagement. Findings suggest that both students and the teacher perceived an increase through Building Thinking Classrooms in student engagement by …

“I’M So Hungry”: Assessing Stem Sensemaking Through Data-Informed Writing, Bailey Nafziger, Alesia Mickle Moldavan, Katie Brkich

Journal of STEM Teacher Education

To engage elementary learners in the complex task of STEM sensemaking, teachers must entice and inspire learners to ask questions, explore, and communicate their findings. This article shares a 5E/3D lesson designed and taught in our elementary science methods courses to model how preservice teachers can integrate literacy and mathematics into a science investigation for STEM sensemaking. We modified a traditional lesson on bird beak adaptations to have a differentiated, interdisciplinary writing component justified by data. We discuss why data-supported literacy is a non-negotiable in science education reforms and how teachers can differentiate tasks to make scientific writing more approachable …

Reminiscences Of My Past Life As A High School Math Teacher, Wayne Nirode

Journal of Humanistic Mathematics

In this article, I reflect on my twenty years as a high school math teacher. I describe four distinct phases of my career in five-year increments. I aim to make public both what makes teaching high school students rewarding and what makes it difficult. Also, my writing illuminates how indelible the first five years were to my development as a teacher. I hope that this brief memoir helps early-career teachers see past the tumultuous beginnings while also inspiring veteran teachers to reflect on their own careers.

Using Improvement Science To Examine The Effects Of The Eureka Math On Teacher Perceptions And Student Achievement In Grades 3–5, Latishia Ptomey

Education Theses and Dissertations

This Improvement Science Dissertation in Practice (ISDiP) investigates teacher perceptions of implementing Eureka Math TEKS Edition in grades three through five within a rural Central Texas district and the resulting impact on student achievement. The study employed a mixed methods design incorporating surveys, observations, and performance data collected over two academic years (2023-2025). Participants over the two years included 16 teachers, one instructional coach, and one principal at a campus of approximately 500 students in grades three through five. Teacher perceptions were analyzed to understand factors influencing curriculum fidelity, instructional practices, and classroom implementation. Concurrently, student mathematics performance was monitored …

Infographic: Pisa Insights – Encouraging Mathematical Thinking, Dominique Russell

Teacher infographics

Each cycle of the global Programme for International Student Assessment (PISA) includes a teacher questionnaire. One questionnaire topic – encouraging mathematical thinking – can help foster critical thinking, enhance problem-solving skills and allow students to see the relevance and connectedness of mathematics in their lives.

Italian Mathematics Prison Teachers’ Perspective On The Teaching/Learning Of Mathematics In Prison School, Andrea Maffia, Luca Decembrotto, Chiara Giberti, Federica Mennuni, Gabriella Pocalana, Silvia Regola, Agnese Telloni

Journal of Prison Education Research

Teaching in the prison context is characterized by a high complexity level; it is a multifaced activity influenced by several factors depending on the specific context. We present a preliminary but overall picture of schooling in Italian prisons by considering teachers’ reflections regarding their experiences in teaching mathematics in correctional facilities. To address the gap in the current literature on this issue, we conducted a SWOT analysis on the reflection provided by a group of nine Italian mathematics teachers who teach in different prisons and with different experiences and backgrounds. Their reflection allowed us to identify and describe six theory-driven …

Infographic: Pisa 2022 Insights – Effort And Persistence In Maths, Dominique Russell

Teacher infographics

Each cycle of the global Programme for International Student Assessment (PISA) includes a student questionnaire. One questionnaire topic – effort and persistence in mathematics – is essential for students’ success and skill development. The data provide useful prompts for teachers when considering their own students.

Infographic: Timss 2023 – Instructional Clarity In Maths And Science, Jo Earp

Teacher infographics

Latest TIMSS data show the degree to which teachers are clear in the way they deliver the mathematics and science curriculum is likely to influence student learning. This includes ensuring students understand the learning goals for each lesson, being able to explain key concepts, and giving students helpful feedback. Find out more in this infographic.

Infographic: Pisa Insights - Students' Mathematics Anxiety, Dominique Russell

Teacher infographics

Each cycle of the Programme for International Student Assessment (PISA) includes a student questionnaire. One topic – mathematics anxiety – is characterised by feelings of tension, fear or apprehension when a person is faced with mathematics-related tasks. Today’s infographic provides useful prompts for teachers when considering their own students.

Math Is _______: A Study On Prospective Teachers' Perceptions Of Math And Teaching Math, Kayla Mead, Katherine Baker

Journal of Humanistic Mathematics

In this project, we examined one cohort of twenty-eight college students and their perceptions of mathematics at the beginning and end of a semester-long mathematics content course for K-8 prospective teachers (PTs). More specifically, our study explored PTs’ perceptions of what mathematics is and what mathematics teaching is, and how and why those perceptions might change over the semester-long mathematics course. PTs’ perceptions were captured through open-ended surveys and follow-up interviews. Our intention was to better understand the reasonings for changes in perceptions during the course to support teacher educators in their work of preparing prospective teachers.

Infographic: Who’S Studying Stem?, Andrew Broadley

Teacher infographics

Thinking about your own school context, is there a gender imbalance in STEM-related subjects? How do you encourage girls to consider taking STEM subjects? In this infographic, we look at gender inequality in students entering tertiary education in a STEM field.

Using Children's Picture Books To Teach Mathematical And Numeracy Concepts: An Exploration Of The Aesthetic Value Of Mathematics For Preservice Teachers’ Dispositions, Mellie Green, Lorraine Gaunt, Georgina M. Barton

Australian Journal of Teacher Education

Evidence suggests that preservice teachers tend to have negative dispositions towards the teaching of mathematics and/or numeracy. In response, this paper describes the work of three experienced teacher educators using high-quality children’s picture books to teach mathematical and/or numeracy concepts as well as foregrounding the aesthetic value of mathematics. The purpose of this type of reading is to support and improve preservice teacher dispositions towards mathematics and/or numeracy with children’s picture books. Using metalogue as methodology, the researchers discussed mathematical and/or numeracy concepts and explored the aesthetic value of mathematics within selected picture books. They used the Australian Curriculum’s General …

Identifying The Types Of Collective Engagement Structures That Manifest In Middle Grade Mathematics Classrooms, Tye G. Campbell, Michael A. Lawson, Erin Rich, Sheunghyun Yeo, W. Boden Robertson

Teacher Education and Leadership Faculty Publications

While the potential of collaborative problem solving in mathematics is well known, facilitating effective group work is often challenging. One reason for this persistent difficulty educators face with collaborative problem solving can be traced to research and practice models that are not well-equipped to attend to the complexity of group work. The emerging construct of “collective engagement structures” represents one novel framework designed to attend to the complexity and variation of individual and group experience in collaborative problem solving. This study extends initial theorizing on collective engagement by offering descriptive accounts of the different types of collective engagement structures that …

Using Geogebra To Foster Imagination And Creativity To Build Mathematics Confidence In A Stem World, Joseph M. Furner

Transformations

Math teachers can better prepare all student for a STEM world using computer software like GeoGebra to better prepare our youth for such high-tech careers like that of which Einstein was part of while also emphasizing and fostering creativity in the learning of mathematics. It is critical we have young learners who are confident in their ability to do math and be creative. Teachers today need to check dispositions toward mathematics and address math anxiety while building math confidence in their students. In an ever-advancing world of technology, math teachers need to incorporate such emerging technologies like GeoGebra into the …

Advantages And Disadvantages Of Technology In The Mathematics Classroom, Francena D. Gargaro

Transformations

The integration of technology into teaching pedagogy, particularly in mathematics instruction, has been a subject of significant. This paper examines the impact of utilizing technology for mathematics education. It reviews multiple categories of technological tools available for classroom use, including hardware, software, and online resources, and discusses their potential benefits and drawbacks. Positive aspects of technology integration include personalized learning experiences, increased engagement and collaboration, and enhanced visualization and conceptual understanding. However, challenges such as dependency on technology, loss of conceptual understanding, distraction, and the widening achievement gap due to inequity are also addressed. The paper explores the role of …

Infographic: Timss 2023 Snapshot, Jo Earp

Teacher infographics

Results from the latest cycle of the Trends in International Mathematics and Science Study (TIMSS 2023) have just been released. Today’s infographic looks at the year 4 and year 8 mean scores in mathematics and science for students in Australia and selected participating countries.

Infographic: Finding The Digital Learning ‘Sweet Spot’, Andrew Broadley

Teacher infographics

According to mathematics performance data from the OECD's PISA 2022 report, students that spend time at school learning on digital devices outperform students that don't. But how much time is too much time? In today’s infographic, we look at student mathematics scores across the OECD and Australia by hours spent on digital learning at school.

Returning To School After A Pandemic And The Lived Experiences Of Rural High School Mathematics Teachers On Student Success, Joshua Saúl Silva

Dissertations

Purpose: The purpose of this qualitative phenomenological methodology investigation was to examine and describe rural mathematics teachers’ lived experiences on the effects of the COVID-19 global pandemic on freshman students returning to school after being online for 2 years through the lens of Bandura’s theory of self-efficacy and serves as part of a thematic dissertation with each researcher focusing on different educators in the K-12 school system.

Methodology: Through qualitative methodology utilizing one-on-one interviews of nine rural high school freshman mathematics teachers with 5 or more years of experience before, during, and after the COVID-19 global pandemic, data was analyzed …

Uniting Students With Literacy Connections In Mathematics, Bridget K. Coleman, Michelle Rasheed, Nancy B. Ruppert, Toni M. Williams

South Carolina Association for Middle Level Education Journal

Literature provides opportunities for students to connect to mathematics, as well as each other. Reflecting on personal identities, storytelling, and place-based connections are avenues to enhancing the relevancy of content across the curriculum. Literature can bridge the divide for students reluctant to see the beauty in mathematics. It can also be the impetus in helping unite students as they gain a better understanding of cultures and places beyond their own. Stories, along with interactive tasks, give context for collaborative experiences. This article shares resources and strategies for building understanding and collaboration among students using cross-curricular connections between mathematics and literacy.

Preparing Elementary Preservice Teachers For Inquiry-Based Science And Mathematics Instruction Through A Novel Initiative, Tye Campbell, Diandra Singh, Cathlene Hillier, J-F, Haleigh Sears

Teacher Education and Leadership Faculty Publications

Over the past several decades, policymakers, researchers, and practitioners have placed an emphasis on inquiry-based science and mathematics instruction in elementary school. While inquiry-based science and mathematics instruction can support student learning and engagement, teacher preparation programs have experienced challenges in preparing elementary teachers to use and maintain inquiry-based teaching practices. In this study, we describe how one teacher preparation program in Canada partnered with a local elementary school to design a novel initiative that provided elementary preservice teachers with authentic opportunities to employ inquiry-based instructional practices for science and mathematics. Using a thematic approach, we explored 46 elementary preservice …

Seven Properties Of Highly Effective Problems, Thomas Ales, Kevin Peterson, Constantine Roussos

Journal of Mathematics and Science: Collaborative Explorations

In an effort to provide more critical thinking opportunities in their courses, instructors are embracing the power of problem- and project-based learning (PBL). In this paper we address the importance of problem quality when utilizing PBL. We list seven important properties that a high-quality problem should have. We conclude with an example of a problem that possesses all seven properties.

Transforming Mathematics Education With Creativity, Natalie M. Zielinski

Masters Projects

Mathematics achievement in elementary and middle school students has decreased across the United States since 2019. Research has shown that moving away from traditional lecture-style teaching and implementing creative and application based learning can result in higher academic achievement and engagement. By utilizing challenging curricular tasks, Project Based Learning, and arts integration, students can be presented with more authentic and engaging academic content to deepen mathematical understanding and success. This project explores the benefits and effects of integrating creative teaching strategies into the mathematics classroom as an equitable teaching approach. Through the use of non-scripted curricular tasks, Project Based Learning, …

Creating Mandalas For World Peace While Incorporating Mathematics, Art, Literature, Writing, And Technology, Joseph M. Furner

Transformations

Across the USA there are more and more students whose parents are from around the world. It is important teachers can effectively teach mathematics to reach all students, particularly those with limited English proficiency, while establishing interdisciplinary and cultural connections and even working toward world peace. The purpose of this paper is to share how a class of students from an elementary school in South Florida with their teacher created mandalas to teach mathematics, art, writing, and even world peace to their students. Math teachers should strive to bridge the cultural gap among all students by incorporating innovative ideas as …

Testing The Knowledge Of Early Childhood Educators, Dianne S. Mccarthy

Journal of Inquiry and Action in Education

Teacher certification exams are supposed to assess if a student is likely to succeed in teaching. What if an exam seems to be inappropriate? This article is an inquiry of the New York State Content Specialty Test for Early Childhood Candidates, particularly the math section. It raises the issue of whether we are asking the right questions and ascertaining the right data to decide if someone has the appropriate math knowledge and is ready to teach math to young children.

Using L1 Student Narratives And Peer Teaching To Increase Secondary Education Mathematical Understanding, Marco Antonio Martinez Leandro

Teacher Education, Educational Leadership & Policy ETDs

This phenomenological study research presents an option to use both discourse in the native language and technology as an alternative to improve the understanding of mathematics in secondary education. 13 students whose native language is Spanish attended a high school in a large urban school district in the Southwest of the United States, participated in this study.

The study's main objective was to observe the effects of using students' discourse in their language and the support of technology to increase their academic literacy in mathematics. Solution-based pedagogy was central to helping students achieve the Development of Academic Literacy in Mathematics …

Research Conference 2023: Becoming Lifelong Learners. Proceedings And Program, Kylie Burns (Ed.)

2021-2030 ACER Research Conferences

We know learning in the early years sets the foundations for people’s ongoing academic, cognitive and socio-emotional development. Education across those formative first 12 years is currently segmented, with children often starting fresh in new systems. How can each of us make learning in the early childhood and primary years more effective? Research Conference 2023 will examine research around how we can improve the continuity of learning from birth to 12 years. It will bring together leading international and Australian researchers to provide insights into the best ways to identify, conceptualise, develop and assess these new linkages for learning.

Engaging Students With High-Stakes Problems, Deepak Basyal

Mathematics and Statistics

Engaging students in meaningful mathematics problem-solving is the intention of many education stakeholders around the world. Research suggests that the implementation of high-stakes problems in mathematics teaching is one way to strengthen students’ conceptual understanding. Many carefully crafted open-ended problems constitute high-stakes problems, and proper use of such problems in teaching and learning not only encourages learners’ flexible thinking but also helps detect their misconceptions. However, what is less practiced and understood is: how exactly one should aim to implement such problems in a classroom setting. Teaching pre-service middle school teachers for a few years using high-stakes (mostly open-ended problems) …

Developing Better Instructors Using The Principles To Actions Professional Learning Toolkit, Abigail Pyle, Patrick Eggleton

Lux et Fides: A Journal for Undergraduate Christian Scholars

This research report documents how a group of mathematics teacher educators collaborated to use the Principles to Actions (NCTM, 2014) (PtA) Professional Learning Toolkit in their classes, the tools they used to measure development in the future teachers, and the findings from the study. In keeping with other studies, using “effective mathematics teaching practices” as defined by Principles to Actions brought about changes in the beliefs of preservice elementary mathematics teachers toward best practices for teaching mathematics. There is hope that the benefits of seeing those instructional practices used by elementary classroom teachers through the PtA Toolkit videos …