Education Commons^™

Numeracy Tasks: Inspiring Transfer Between Concrete And Abstract Thinking Spaces, Taras Gula, Miroslav Lovric

Numeracy

In our paper we build a case for conceptualizing numeracy tasks as distinct from mathematical tasks (or at least as a special type of mathematical task), and for abstraction and interpretation as a set of key activities necessary for designating a numeracy task as being high-quality. We start with an attempt to tame the fuzziness of numeracy and its family members (including quantitative reasoning, quantitative literacy, mathematical literacy, and the word problem cousins) by outlining six areas of consensus gleaned from literature. These provide the foundation for a core mandate of numeracy. We then build our case for the distinctness …

High School Student Narratives Of Error Analysis: A Qualitative Investigation Into Literacy For Geometry Learning, Dean Petti

Doctor of Education in Secondary and Middle Grades Education Dissertations

This narrative inquiry aimed to relate student narratives to error analysis of Geometry problems as a form of literacy implementation. Teachers need to develop a deep understanding and application of mathematics content through qualitative research to find connections to practice (Enderson et al., 2010). Geometry is a worthwhile subject to understand our world from various perspectives and to spur our imagination with constructing objects based on properties undergoing dynamic changes. However, teachers and researchers often wonder why most secondary students need help with the significance of learning and applying Geometry concepts. Literacy implementation bridges students' narrative experiences and relevance to …

What Can We Learn From The Different Understandings Of Mathematical Literacy?, Svein Arne Sikko

Numeracy

Mathematical literacy, quantitative literacy, numeracy, matheracy, disciplinary literacy, and content-area literacy are among a plethora of terms used to link mathematics and literacy. In addition to this abundance of terms, the content of the terms is not precise, and in some cases the terms are used interchangeably. I delve into this landscape and dissect the meaning of each of them. From such an analysis of mathematical literacy, numeracy, and quantitative literacy, we learn about the importance of quantitative practices and elementary mathematics in society, including both how mathematics is necessary for everyday life but also how it can be used …

Using Data Mining To Explore Factors That Distinguish Between Students With High And Low Mathematical Literacy Performance — An Example With Socio-Economically Disadvantaged And Advantaged Students In Macao, Wa Kit Sou, Kwok Cheung Cheung, Man Kai Ieong, Soi Kei Mak

Chinese/English Journal of Educational Measurement and Evaluation | 教育测量与评估双语期刊

Using Macao-PISA 2012 data collected from socio-economically disadvantaged and advantaged students, this study identified two sets of important learning factors that distinguished between low- and high-performing disadvantaged students, and between low- and high-performing advantaged students, respectively. The findings of this research contribute to a better understanding of the reasons for Macao’s high-quality and equitable education as compared to other regions with high mathematical literacy performance while also revealing the crux of small inequities in its education system. The analysis method used in this paper provides a paradigm for data mining research using large-scale assessment data and helps researchers better grasp …

Literasi Matematis Dan Self-Efficacy Siswa Ditinjau Dari Perbedaan Kebijakan Sistem Zonasi, Ahmad Muhazir, Kana Hidayati, Heri Retnawati

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Penelitian ini bertujuan untuk (1) mendeskripsikan kemampuan literasi matematis dan self-efficacy siswa kelas XI SMA; (2) mendeskripsikan dampak perbedaan kebijakan sistem zonasi terhadap kemampuan literasi matematis dan self-efficacy siswa kelas XI SMA; dan (3) mendes­kripsikan hubungan antara literasi matematis dan self-efficacy siswa kelas XI SMA. Penelitian survei ini melibatkan 346 siswa dari Kota Banjarmasin dan 321 siswa dari Kota Palangka Raya. Kedua kota tersebut memiliki kebijakan zonasi yang berbeda. Pengumpulan data dila­kukan me­lalui tes dan angket yang telah memenuhi kriteria valid dan reliabel. Teknik analisis data yang digunakan adalah statistik deskriptif dan inferensial. Hasil penelitian menunjukkan bahwa literasi matematis siswa …

Pengaruh Pendekatan Problem Solving Terhadap Kemampuan Representasi Dan Literasi Matematis Siswa, Muh. Fajaruddin Atsnan, Rahmita Yuliana Gazali, Maisea Ledua Nareki

Jurnal Riset Pendidikan Matematika

Pada konteks penilaian berskala internasional seperti PISA, kompetensi pemecahan masalah dalam bidang matematika dan sains terkait permasalahan nyata merupakan fokus pengembangan kompetensi representasi dan literasi matematis siswa. Mengingat pentingnya pemecahan masalah, kemampuan representasi dan literasi matematis, maka penelitian ini bertujuan untuk mengetahui pengaruh pendekatan problem solving terhadap kemampuan representasi dan literasi matematis siswa SMP. Metode yang digunakan pada penelitian ini adalah metode eksperimen kuasi (quasi experimental), dengan desain penelitian yang digunakan adalah Randomized Posttest-Only Control Group Design, yakni dua kelas yang telah dipilih secara acak, selanjutnya diberikan perlakukan yang diakhiri dengan tes kemampuan representasi dan literasi matematis pada kedua …

Mathematical Literacy Of Senior High School Students In Yogyakarta, Rosalia Hera Novita Sari, Ariyadi Wijaya

Jurnal Riset Pendidikan Matematika

The aim of this research is to describe mathematical literacy of Senior High School students in Yogyakarta. This research was a survey using quantitative design. The population was all of Senior High School students in Yogyakarta. The sampling was a combination of stratified random sampling and cluster random sampling. The sample was 813 students the 10^th grade of Senior High School. These schools include high, average and low category based on the score in the national examination of mathematics subject. The data collection was by a test. The student was tested with 13 items of mathematical literacy problems. The …

Pisa 2015: Reporting Australia's Results, Sue Thomson, Lisa De Bortoli, Catherine Underwood

OECD Programme for International Student Assessment (PISA) Australia

The Programme for International Student Assessment (PISA) is an international comparative study of student achievement directed by the Organisation for Economic Co-operation and Development (OECD). PISA measures how well 15-year-olds, who are nearing the end of their compulsory schooling in most participating educational systems, are prepared to use the knowledge and skills in particular areas to meet real-life opportunities and challenges. PISA 2015 is the sixth cycle of PISA since it was first conducted in 2000. Seventy-two OECD countries or partner economies participated in PISA 2015. In Australia, PISA is managed by the Australian Council for Educational Research (ACER) and …

Are Australian Mathematical Foundations Solid Enough For The 21st Century?, Ross Turner, Dave Tout

2009 - 2019 ACER Research Conferences

This presentation will look at some key messages from the Australian results of both the Programme for International Student Assessment (PISA) and the Programme for the International Assessment of Adult Competencies (PIAAC). PISA assesses the mathematical literacy of 15-year-old students around Australia, whilst PIAAC assesses 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? What are some of the research outcomes and implications …

Enhancing Students’ Mathematical Aspirations And Mathematical Literacy As The Foundation For Improving Stem Learning, Merrilyn Goos

2009 - 2019 ACER Research Conferences

Mathematics is the foundational enabling discipline that underpins STEM and its other constituent disciplines of science, technology and engineering. Central to Australia’s mathematical vitality is universal access to high-quality mathematics education. Without this, young people are at risk of early school leaving, low participation in post-school education and training, poor employment outcomes, and social isolation (COAG, 2008; Parsons & Bynner, 2005). But Australia faces significant problems in ensuring that all young people are successfully engaged in learning mathematics at school, and in providing them with teachers who can inspire their learning. This paper explores approaches to addressing two problems that …

Session F : Are Australian Mathematical Foundations Solid Enough For The 21st Century?, Ross Turner, Dave Tout

David (Dave) Tout

This presentation will look at some key messages from the Australian results of both the Programme for International Student Assessment (PISA) and the Programme for the International Assessment of Adult Competencies (PIAAC). PISA assesses the mathematical literacy of 15-year-old students around Australia, whilst PIAAC assesses 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? What are some of the research outcomes and implications …

Session F : Are Australian Mathematical Foundations Solid Enough For The 21st Century?, Ross Turner, Dave Tout

Ross Turner

This presentation will look at some key messages from the Australian results of both the Programme for International Student Assessment (PISA) and the Programme for the International Assessment of Adult Competencies (PIAAC). PISA assesses the mathematical literacy of 15-year-old students around Australia, whilst PIAAC assesses 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? What are some of the research outcomes and implications …

Session H: Pisa: Behind The Headlines And Past The Rankings, Sue Thomson, Chris Wardlaw

Dr Sue Thomson

Whenever the results of the Programme for International Student Assessment (PISA) are announced, media headlines are full of reports about rankings, about how many countries Australia is outperformed by and outperforms. In early rounds of PISA, Australia ranked among the top 10 countries across all three education domains assessed. However, over time Australia’s position has declined, rather than improved, and Australia no longer sits in the top 10 of any of the assessed domains. This presentation will go behind the headlines and past the rankings, to look at where Australia has declined, and look at how we can improve outcomes …

Pisa: Behind The Headlines And Past The Rankings, Sue Thomson, Chris Wardlaw

2009 - 2019 ACER Research Conferences

Whenever the results of the Programme for International Student Assessment (PISA) are announced, media headlines are full of reports about rankings, about how many countries Australia is outperformed by and outperforms. In early rounds of PISA, Australia ranked among the top 10 countries across all three education domains assessed. However, over time Australia’s position has declined, rather than improved, and Australia no longer sits in the top 10 of any of the assessed domains. This presentation will go behind the headlines and past the rankings, to look at where Australia has declined, and look at how we can improve outcomes …

Does It All Add Up? What’S The Story With Mathematical Literacy And Numeracy? Where To Next?, Ross Turner, Dave Tout

David (Dave) Tout

Does It All Add Up? What’S The Story With Mathematical Literacy And Numeracy? Where To Next?, Ross Turner, Dave Tout

Ross Turner

Lessons From Pisa For Mathematical Literacy, Ross Turner

Ross Turner

Mathematical Literacy: Are We There Yet?, Ross Turner

Ross Turner

Teaching Mathematics: Using Research-Informed Strategies, Peter Sullivan

Australian Education Review

AER 59 reviews research into aspects of mathematics teaching, focusing on issues relevant to Australian mathematics teachers, to those who support them, and also to those who make policy decisions about mathematics teaching. It was motivated by and draws on the proceedings of the well-attended and highly successful ACER Research Conference Teaching mathematics? Make it count: What research tells us about effective mathematics teaching and learning, held in Melbourne in August 2010.

Section 2 describes the goals of teaching mathematics and argues that a practical orientation should be the focus of mathematics teaching in the compulsory years, and outlines …

Paper 1: Investigating Mathematical Literacy Through Teacher Language, Alyson Lischka

Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference

Communication about mathematical concepts using appropriate terminology is a standard established by the National Council of Teachers of Mathematics. However, international test results show that United States’ students are lagging in mathematical literacy. This case study analyzes the ways in which instructors use language to help students move toward conceptual understanding of mathematical vocabulary. Three mathematics education professors at a mid-size four year institution were observed teaching math classes to students enrolled in elementary or secondary certification programs. Collected data included: audio-recorded observations and field notes, lesson artifacts such as quizzes and handouts, and audio-recorded interviews with each participant. Findings …