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In numerous studies, intelligent tutoring systems (ITSs) have proven effective in helping students learn mathematics. Prior work posits that their effectiveness derives from efficiently providing eventually-correct practice opportunities. Yet, there is little empirical evidence on how learning processes with ITSs compare to other forms of instruction. The current study compares problem-solving with an ITS versus solving the same problems on paper. We analyze the learning process and pre-post gain data from N = 97 middle school students practicing linear graphs in three curricular units. We find that (i) working with the ITS, students had more than twice the number of eventually-correct practice opportunities than when working on paper and (ii) omission errors on paper were associated with lower learning gains. Yet, contrary to our hypothesis, tutor practice did not yield greater learning gains, with tutor and paper comparing differently across curricular units. These findings align with tutoring allowing students to grapple with challenging steps through tutor assistance but not with eventually-correct opportunities driving learning gains. Gaming-the-system, lack of transfer to an unfamiliar test format, potentially ineffective tutor design, and learning affordances of paper can help explain this gap. This study provides first-of-its-kind quantitative evidence that ITSs yield more learning "opportunities" than equivalent paper-and-pencil practice and reveals that the relation between opportunities and learning gains emerges only when the instruction is effective.

In this study we present results of a discourse analysis of the interactions between two partners, Uma and Sean, through a feminist lens. During roughly five hours of small group work in a teaching experiment, how each partner used language to position each other's thinking as mathematically significant and establish a collaborative environment varied dramatically. Specifically, Uma shouldered the burden of continuously working to maintain collaboration, oftentimes at the expense of having her thinking positioned as mathematically significant. On the other hand, Sean regularly offered little opportunity for Uma to engage openly with his thinking, which ultimately constrained Uma's opportunities to learn. [For the complete proceedings, see ED630210.]

Students in secondary school often find mathematics abstract and irrelevant, frequently questioning its usefulness and purpose. The discourse around STEM education has encouraged secondary teachers to attempt connecting mathematics with other STEM disciplines, most commonly with science. By making connections between content and skills through applications, it is anticipated that secondary school students will engage more in class that may result in improved mathematics achievement. This paper explores the rationale for making connections with science, examines the impact on student achievement in mathematics from previous research and discusses challenges for schools and teachers.

These proceedings are a written record of the research presented at the 44th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) held in Nashville, Tennessee, and virtually. This year's conference theme is "Critical Dissonance and Resonant Harmony." The aim of this theme is to reflect not only the time and place that of gathering, but also the time and place in which to conduct academic work. Dissonance can be jarring to experience, whereas harmony can be pleasing. Nashville -- Music City -- which is no stranger to both dissonance and harmony. The papers accepted comprised 101 research reports, 140 brief research reports, 84 Posters, and 16 Working Groups or Research Colloquia. [Individual papers are indexed in ERIC.]

Perseverance is critical for students' achievement and may be particularly important after COVID-19. This paper includes analyses of teacher and principal interviews and student educational technology usage data to examine students' perseverance during math problem-solving across three cohorts of students during and after COVID-19. Data were collected as part of a randomized control trial examining the efficacy of an educational technology platform, MathSpring, in supporting students' math achievement. The results indicated that teachers and principals were concerned with their students' perseverance, and students' usage data similarly demonstrated that students may have reduced perseverance when solving math problems after COVID-19. Teachers and students may benefit from using tools that help foster perseverance in math class. MathSpring and other educational technology tools that support perseverance could be useful for encouraging students to put forth effort when solving math problems, which could in turn support students' math learning outcomes.

In this paper we report on an aspect of the findings of a larger three-phase study exploring the factors that influence teachers implementing pedagogies that cultivate students' STEM capabilities and 21st century skills. Data were collected through an online questionnaire, semi-structured interviews, focus groups and case studies. This paper will focus on the findings from the first phase of this study and initial analysis of focus groups and semi-structured interviews data. Preliminary findings show that participants hold mixed beliefs concerning student proficiency in mathematics and there are common factors that influence decisions concerning the use of pedagogical practices that support students' mathematical proficiency and the development of students' 21st century skills. These factors include teachers' personal beliefs and attitudes, perceived time and curriculum constraints, student behaviour and students' academic ability.

The purpose of this paper is to investigate the affordances of the e-assessment system Numbas from an Activity Theory perspective. The study follows a qualitative research design combined with semi-structured interviews with six students and two teachers. The findings reveal that the students were able to perceive and actualise several affordances of Numbas, such as ease of use and navigation and possession of facility to contain mathematical knowledge. The participants acknowledged that Numbas affords variation in mathematical contents and support for the development of pen and paper skills. Numbas also affords learner's autonomy and motivation to engage in mathematical problem-solving. Findings further show that Numbas promotes formative assessment. This can be seen from the high level of affordance perception and actualisation amongst students and teachers. [For the full proceedings, see ED636095.]

The theme of the 39th proceedings of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) conference was "Synergy at the Crossroads: Future Directions for Theory, Research, and Practice." The metaphor of crossroads was inspired by the conference venue--the historic Indianapolis Union Station, as well as by the state motto, a reference to how Indiana is connected to the rest of the United States. PME-NA 39 includes research presentations, discussion, and reflection focusing on four driving questions connecting to the metaphor of crossroads: (1) What have we learned from the routes we have traversed; what are potential routes for mathematics education research in the future; and what considerations are relevant as we make choices about future directions in mathematics education?; (2) How do we address issues of access and equity within mathematics education today?; (3) How can we lay the groundwork for future crossroads or intersections between theory, research, and practice?; and (4) What barriers within research traditions, educational policy, and teaching practice impede researchers', students', and teachers' success, and how can we work to overcome these barriers? The accepted proposals included 75 research reports, 142 brief research reports, 167 posters, and 13 working groups. Chapters include: (1) Plenary Papers; (2) Curriculum and Related Factors; (3) Early Algebra, Algebra, and Number Concepts; (4) Geometry and Measurement; (5) Inservice Teacher Education/Professional Development; (6) Mathematical Knowledge for Teaching; (7) Mathematical Processes; (8) Preservice Teacher Education; (9) Statistics and Probability; (10) Student Learning and Related Factors; (11) Teaching and Classroom Practice; (12) Technology; (13) Theory and Research Methods; and (14) Working Groups. Individual papers include references. [Individual plenary and research papers are available in ERIC. Some papers are written in both Spanish and English.]

These proceedings contain the papers and posters of the 13th International Conference on Mobile Learning 2017, which was organised by the International Association for Development of the Information Society (IADIS), in Budapest, Hungary, April 10-12, 2017. The Mobile Learning 2017 Conference seeks to provide a forum for the presentation and discussion of mobile learning research which illustrates developments in the field. Full papers presented in these proceedings include: (1) Design of a Prototype Mobile Application to Make Mathematics Education More Realistic (Dawid B. Jordaan, Dorothy J. Laubscher, and A. Seugnet Blignaut); (2) Tablets and Applications to Tell Mathematics' History in High School (Eduardo Jesus Dias, Carlos Fernando Araujo, Jr., and Marcos Andrei Ota); (3) Assessing the Potential of LevelUp as a Persuasive Technology for South African Learners (Nhlanhla A. Sibanyoni and Patricia M. Alexander); (4) #Gottacatchemall: Exploring Pokemon Go in Search of Learning Enhancement Objects (Annamaria Cacchione, Emma Procter-Legg, and Sobah Abbas Petersen); (5) A Framework for Flipped Learning (Jenny Eppard and Aicha Rochdi); (6) The Technology Acceptance of Mobile Applications in Education (Mark Anthony Camilleri and Adriana Caterina Camilleri); (7) Engaging Children in Diabetes Education through Mobile Games (Nilufar Baghaei, John Casey, David Nandigam, Abdolhossein Sarrafzadeh, and Ralph Maddison); (8) A Mobile Application for User Regulated Self-Assessments (Fotis Lazarinis, Vassilios S. Verykios, and Chris Panagiotakopoulos); and (9) Acceptance of Mobile Learning at SMEs of the Service Sector (Marc Beutner and Frederike Anna Rüscher). Short papers presented include: (1) Possible Potential of Facebook to Enhance Learners' Motivation in Mobile Learning Environment (Mehwish Raza); (2) D-Move: A Mobile Communication Based Delphi for Digital Natives to Support Embedded Research (Otto Petrovic); (3) Small Private Online Research: A Proposal for a Numerical Methods Course Based on Technology Use and Blended Learning (Francisco Javier Delgado Cepeda); (4) Experimenting with Support of Mobile Touch Devices for Pupils with Special Educational Needs (Vojtech Gybas, Katerina Kostolányová, and Libor Klubal); (5) Mobile Learning in the Theater Arts Classroom (Zihao Li); (6) Nomophobia: Is Smartphone Addiction a Genuine Risk for Mobile Learning? (Neil Davie and Tobias Hilber); (7) Analysis of Means for Building Context-Aware Recommendation System for Mobile Learning (Larysa Shcherbachenko and Samuel Nowakowski); (8) RunJumpCode: An Educational Game for Educating Programming (Matthew Hinds, Nilufar Baghaei, Pedrito Ragon, Jonathon Lambert, Tharindu Rajakaruna, Travers Houghton, and Simon Dacey); (9) Readiness for Mobile Learning: Multidisciplinary Cases from Yaroslavl State University (Vladimir Khryashchev, Natalia Kasatkina, and Dmitry Sokolenko); and (10) The M-Learning Experience of Language Learners in Informal Settings (Emine Sendurur, Esra Efendioglu, Neslihan Yondemir Çaliskan, Nomin Boldbaatar, Emine Kandin, and Sevinç Namazli). Reflection papers presented include: (1) New Model of Mobile Learning for the High School Students Preparing for the Unified State Exam (Airat Khasianov and Irina Shakhova); (2) Re-Ment--Reverse Mentoring as a Way to Deconstruct Gender Related Stereotypes in ICT (Kathrin Permoser); (3) Academic Success Foundation: Enhancing Academic Integrity through Mobile Learning (Alice Schmidt Hanbidge, Amanda Mackenzie, Nicole Sanderson, Kyle Scholz, and Tony Tin); (4) Using Tablet and iTunesU as Individualized Instruction Tools (Libor Klubal, Katerina Kostolányová, and Vojtech Gybas); (5) DuoLibras--An App Used for Teaching-Learning of Libras (Erick Nilson Sodré Filho, Lucas Gomes dos Santos, Aristóteles Esteves Marçal da Silva, Nidyana Rodrigues Miranda de Oliveira e Oliveira, Pedro Kislansky, and Marisete da Silva Andrade); (6) Educators Adopting M-Learning: Is It Sustainable in Higher Education? (Nicole Sanderson and Alice Schmidt Hanbidge); and (7) M-Kinyarwanda: Promoting Autonomous Language Learning through a Robust Mobile Application (Emmanuel Bikorimana, Joachim Rutayisire, Mwana Said Omar, and Yi Sun). Posters include: (1) Design of Mobile E-Books as a Teaching Tool for Diabetes Education (Sophie Huey-Ming Guo); and (2) Reading While Listening on Mobile Devices: An Innovative Approach to Enhance Reading (Aicha Rochdi and Jenny Eppard). The Doctoral Consortium includes: How Can Tablets Be Used for Meaning-Making and Learning (Liv Lofthus). Individual papers include references, and an Author Index is included.

These proceedings contain the papers of the 12th International Conference on Mobile Learning 2016, which was organized by the International Association for Development of the Information Society, in Vilamoura, Algarve, Portugal, April 9-11, 2016. The Mobile Learning 2016 Conference seeks to provide a forum for the presentation and discussion of mobile learning research which illustrate developments in the field. Full papers presented in these proceedings include: (1) Mobile Devices and Spatial Enactments of Learning: iPads in Lower Secondary Schools (Bente Meyer); (2) NetEnquiry--A Competitive Mobile Learning Approach for the Banking Sector (Marc Beutner, Matthias Teine, Marcel Gebbe and Lara Melissa Fortmann); (3) M-Learning Challenges in Teaching Crosscutting Themes in the Education of Young People and Adults (Marcos Andrei Ota and Carlos Fernando de Araujo Jr); (4) Mobile Learning: Pedagogical Strategies for Using Applications in the Classroom (Anna Helena Silveira Sonego, Leticia Rocha Machado, Cristina Alba Wildt Torrezzan and Patricia Alejandra Behar); (5) Experiencing a Mobile Game and its Impact on Teachers' Attitudes towards Mobile Learning (Hagit Meishar-Tal and Miky Ronen); (6) Exploring Mobile Affordances in the Digital Classroom (David Parsons, Herbert Thomas and Jocelyn Wishart); (7) Design, Development and Evaluation of a Field Learning Video Blog (Otto Petrovic); (8) Development and Evaluation of a Classroom Interaction System (Bingyi Cao, Margarita Esponda-Argüero and Raúl Rojas); (9) Visual Environment for Designing Interactive Learning Scenarios with Augmented Reality (José Miguel Mota, Iván Ruiz-Rube, Juan Manuel Dodero and Mauro Figueiredo); and (10) The Development of an Interactive Mathematics App for Mobile Learning (Mauro Figueiredo, Beata Godejord and José Rodrigues). Short papers presented include: (1) Conceptualizing an M-Learning System for Seniors (Matthias Teine and Marc Beutner); (2) Sensimotor Distractions when Learning with Mobile Phones on-the Move (Soledad Castellano and Inmaculada Arnedillo-Sánchez); (3) Personal Biometric Information from Wearable Technology Tracked and Followed Using an Eportfolio: A Case Study of eHealth literacy Development with Emerging Technology in Hong King Higher Education (Michele Notari, Tanja Sobko and Daniel Churchill); (4) An Initial Evaluation of Tablet Devices & What Are the Next Steps? (Tracey McKillen); (5) Information Literacy on the Go! Adding Mobile to an Age Old Challenge (Alice Schmidt Hanbidge, Nicole Sanderson and Tony Tin); (6) The Use of Digital Tools by Independent Music Teachers (Rena Upitis, Philip C. Abrami and Karen Boese); (7) Development of a Math Input Interface with Flick Operation for Mobile Devices (Yasuyuki Nakamura and Takahiro Nakahara); (8) Smartwatches as a Learning Tool: A Survey of Student Attitudes (Neil Davie and Tobias Hilber); and (9) The Adoption of Mobile Learning in a Traditional Training Environment: The C95-Challenge Project Experience (Nadia Catenazzi, Lorenzo Sommaruga, Kylene De Angelis and Giulio Gabbianelli). Reflection papers include the following; (1) Leadership for Nursing Work-Based Mobile Learning (Dorothy Fahlman); (2) Reflections on Ways forward for Addressing Ethical Concerns in Mobile Learning Research (Jocelyn Wishart); and (3) Mobile Learning: Extreme Outcomes of Everywhere, Anytime (Giuseppe Cosimo De Simone). Posters include: (1) Student Response Behavior to Six Types of Caller/Sender When Smartphones Receive a Call or Text Message during University Lectures (Kunihiro Chida, Yuuki Kato and Shogo Kato); and (2) Understanding the Use of Mobile Resources to Enhance Paralympic Boccia Teaching and Learning for Students with Cerebral Palsy (Fabiana Zioti, Giordano Clemente, Raphael de Paiva Gonçalves, Matheus Souza, Aracele Fassbinder and Ieda Mayumi Kawashita). Doctoral Consortium papers include: (1) Forms of the Materials Shared between a Teacher and a Pupil (Libor Klubal and Katerina Kostolányová); and (2) Mobile Touch Screen Devices as Compensation for the Teaching Materials at a Special Primary School (Vojtech Gybas and Katerina Kostolányová). Individual papers provide references, and an Author Index is provided.

This position paper discusses the role of open access research data within mathematics education, a relatively new initiative across the wider research community. International and national policy documents are explored and examples from both the scientific and social science paradigms of mathematical sciences and mathematics education respectively are provided. Within these examples, some of the more well-known concerns associated with making data open and accessible are acknowledged and debated.

This paper is a brief summary of a large historic research project in Papua New Guinea (PNG). The project aimed to document and analyse the nature of mathematics education from tens of thousands of years ago to the present. Data sources varied from first contact and later records, archaeology, oral histories, language analyses, lived experiences, memoirs, government documents, field studies, and previous research especially doctoral studies. The impacts of colonisation, post-colonial aid and globalisation on mathematics education have been analysed and an understanding of the current status of mathematics education established as neocolonial. Managing neocolonial education policies may minimise the loss of cultural ways of thinking.

Behaviourism proposes successful learning to be dependent on the performance of conditioned behaviours that are distinctly observable and objectively measurable. Over the past 100 years, various behaviourist concepts have been superseded by sociocultural and cognitive learning theories, but the entwined areas of assessment in mathematics education have not received the same focus. Outdated beliefs and unquestioned norms surrounding behaviourist assessment ideologies continue to dominate schools' decision-making around mathematics education. This paper includes the theoretical foundations for a PhD that aims to surface the tension of what is said to be valued in mathematics as "success" and what is systematically labelled as "success".