Non traditional 1 Math Skill Gaps

The Knowledge and Skills Gap in Australian Primary Mathematics Classrooms

Contributors

  • Lee Walker, Oxford University Press

  • Janine Sprakel, National Partnership and Engagement Manager, Australian Maths Trust

  • Annie Facchinetti, Mathematics Educator, Our Lady Help of Christians Primary School

  • Peter Maher, Coordinator of Mathematics, Penleigh and Essendon Grammar School

  • Peter Sullivan, Emeritus Professor, School of Curriculum Teaching and Inclusive Education, Monash University

Table of Contents

  • Foreword

  • The Knowledge and Skills Gap

  • The Oxford University Press Research

  • Australian Student Achievement Trends in Mathematics

  • Assessing Students Along Their Learning Journeys

  • Mathematics Knowledge and Skills Gaps Exist in Every Year of Primary School

  • Are Knowledge and Skills Gaps Unique to Students?

  • The Challenge of Transitioning from Year 6 to Year 7

  • Impacts on Student Engagement, Confidence, and Anxiety Levels

  • The Importance of Reading Comprehension

  • Why Don’t Teachers Have Enough Time to Teach Mathematics?

  • Conclusion

  • Articles:

    • On Taking Time with Mathematics

    • Making a Difference with Differentiation

    • Demonstrating Relevance of Mathematics to Real-World Situations

    • Including All Students in Whole-Class Mathematically Rich Learning Opportunities

Foreword

  • The importance of mathematics in the modern world's job market is emphasized, with a focus on engaging students to become numerate.

  • There are challenges in teaching due to varying student knowledge and skills levels.

  • Educators face the task of ensuring all students progress adequately while managing diverse ability levels within classrooms.

  • Key themes from educators include:

    • The need to review assessment techniques and timing.

    • The importance of choosing effective teaching resources.

    • The value of sustained professional development for teachers.

    • Need for greater access to teaching support for diverse learning capabilities.

The Knowledge and Skills Gap

  • Research by Oxford University Press highlights that gaps in mathematical skills and knowledge exist in every year of primary education.

  • It suggests teachers assess knowledge gaps and apply differentiated instruction.

  • The aim is to create equal opportunities for all students.

The Oxford University Press Research

  • In early 2022, OUP surveyed 228 primary teachers across Australia, focusing on their direct teaching of mathematics from Foundation to Year 6.

  • 94% of surveyed teachers teach mathematics, while 64% teach Year 3-6 and 36% teach Foundation-Year 2.

Australian Student Achievement Trends in Mathematics

  • Mixed trends observed in national and international assessments:

    • TIMMS and NAPLAN show little improvement over time.

    • PISA results show a significant and consistent decline in mathematics achievement.

  • Data source: PISA 2018, TIMMS 2019, NAPLAN 2021.

Assessing Students Along Their Learning Journeys

  • Primary teachers focus on varied assessment methods to track student progress:

    • Summative assessment (80%)

    • Observing and monitoring learning (79%)

    • Testing prior knowledge (72%)

    • Formative assessment (64%)

    • Placement assessments (56%)

  • Over half of teachers assess at the beginning of the school year but fewer review prior student achievement.

Mathematics Knowledge and Skills Gaps Exist in Every Year of Primary School

  • Teacher perceptions indicate that gaps in student mathematical knowledge exist widely, increasing with each school year:

    • Year 1: Gaps of 1-2 years reported by over 70% of teachers.

    • Year 3: Gaps increase to 1-4 years.

    • Year 6: 33% report gaps of 5+ years.

  • Similar gaps are observed in secondary education, especially in Years 7-9.

Are Knowledge and Skills Gaps Unique to Students?

  • An analysis suggests that gaps are not only student-relative but may be linked to teacher instruction methods:

    • Many teachers lack effective practices due to inadequate pre-service training.

    • Effective teaching practices identified include clear demonstrations, guided practice opportunities, and timely feedback.

  • The Federal Government's Quality Initial Teaching Review aims to address such issues.

The Challenge of Transitioning from Year 6 to Year 7

  • Secondary teachers have reported significant gaps in student abilities when transitioning from primary to secondary school:

    • 94% of secondary teachers note inadequate knowledge from primary education.

    • Teachers highlight foundational gaps such as multiplication tables and basic number comprehension.

Impacts on Student Engagement, Confidence, and Anxiety Levels

  • Poor progress in mathematics correlates with increased anxiety and reduced confidence among students:

    • 64% of primary teachers believe that lack of progress diminishes engagement.

    • 75% report reduced confidence levels.

  • Secondary level results support these findings with 86% indicating increased anxiety and decreased student confidence.

The Importance of Reading Comprehension

  • A significant link between reading comprehension and math achievement is noted:

    • Poor reading skills can severely impact students' ability to perform in mathematics.

    • Content area literacy and disciplinary literacy are critical for understanding mathematical language and problems.

  • Lack of comprehensive literacy policies in schools hampers progress.

Why Don’t Teachers Have Enough Time to Teach Mathematics?

  • 87% of primary teachers cite time constraints as a barrier to addressing all student gaps:

    • Issues noted include large class sizes, diverse learning needs, and an overcrowded curriculum.

    • Ongoing professional development and the right resources are essential according to the survey responses.

Conclusion

  • The report concludes by summarizing the findings on the mathematics knowledge and skills gap in Australian primary classrooms, emphasizing teacher passion and the need for professional support, resources, and effective instructional strategies.

On Taking Time with Mathematics by Janine Sprakel

  • Educators are encouraged to take time on math problems, engage deeply with them, and prepare students for problem-solving sessions.

  • Importance of reflective practice in planning and delivering mathematics lessons is highlighted.

Making a Difference with Differentiation by Annie Facchinetti

  • Teachers face increased demands but must create differentiated plans for diverse learners.

  • Establishing classroom routines improves student independence and reduces reliance on teachers.

  • Implementing open-ended questions helps cater to various student abilities simultaneously.

Demonstrating the Relevance of Mathematics by Peter Maher

  • Engaging students requires teachers to connect mathematical concepts to real-world applications.

  • Parents' involvement supports practical learning experiences.

  • Motivation and engagement depend heavily on demonstrating the relevance of lessons.

Including All Students in Whole-Class Learning Opportunities by Peter Sullivan

  • Differentiated instruction requires careful planning to meet the varying readiness levels in classrooms.

  • Strategies include open-ended tasks and student-inclusive discussions to foster broad mathematical understanding.

  • The classroom structure must allow for student choice and discussion to enhance learning.