​Professor Yoshinori Shimizu, Ph. D, is a mathematics educator who works at Graduate School of Comprehensive Human Sciences of University of Tsukuba, one of the major research institutions in Japan. He finished his Ph.D in Mathematics Education at Doctoral Program in Education, University of Tsukuba. He has been working at institutions such asTokyo Gakugei University, Indiana University (USA) as visiting scholar, and University of Tsukuba He was a member of Mathematics Expert Group (MEG) for OECD/PISA 2003, 2006, 2009. He was a consultant for 1995 TIMSS Videotape Classroom Study. He is one of the founders of Learner’s Perspective Study (LPS), a sixteen countries comparative study on mathematics classrooms and has been the Japanese team leader of the project. He was a member of the International Committee of the International Group for the Psychology of Mathematics Education (2005-2009). He is the vice president of Japan Society of Mathematical Education. He was the co-chair forthe ICMI Study 24 conference held in November 2018 in Tsukuba, Japan.Professor Renuka Vithal is the former Deputy Vice-Chancellor for Teaching and Learning, Dean of Education and Professor of Mathematics Education of the University of KwaZulu-Natal; and is currently Deputy Vice-Chancellor for Academic Affairs at Fort Hare Univeristy. She is also a member of the Board of Trustees of CASME. Professor Vithal obtained her MPhil in mathematical education from the University of Cambridge in the United Kingdom and her doctoral degree in natural sciences from Aalborg University in Denmark. She began her career as a mathematics teacher and proceeded to work for institutions such as the University of Durban Westville and University of KwaZulu-Natal where she attained full professorship in mathematics education. She is recognised internationally as a scholar in the social, cultural and political dimensions of mathematics education.

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• Foreword: Frederick Leung.- International Program Committee.- Part I: Introduction to ICMI Study 24: 1: School Mathematics Curriculum Reforms: Widespread Practice but Under-researched in Mathematics Education: Yoshinori Shimizu and Renuka Vithal.- 2: School Mathematics: A Bipolar Subject: Jeremy Kilpatrick.- Part II: Theme A - Learning from the Past: Driving Forces and Barriers Shaping Mathematics Curriculum Reforms: 3: Introduction: Marianna Bosch and Niamh O’Meara.- 4: International Co-operation and Influential Reforms: Katalin Gosztonyi, Marja van den Heuvel-Panhuizen, Naomichi Makinae, Shizumi Shimizu and Marc van Zanten.- 5: Learning from the Past: Case Studies of Past ‘Local’ Curriculum Reforms: Niamh O’Meara and Jasmina Milinkovic.- 6: The Role of Values and Culture in Past Mathematics Curriculum Reforms: Maria Bartolini Bussi, Jasmina Milinkovic and Zahra Gooya.- 7: Curriculum Reforms and the Construction of the Knowledge to be Taught: Marianna Bosch, Thu-HuongVu-Nhu and Dyana Wijayanti.- 8: Conclusion: Final Considerations: Driving Forces and Barriers Affecting Curriculum Reforms: Marianna Bosch and Niamh O’Meara.- Part III: Theme B – Analysing School Mathematics Curriculum Reforms for Coherence and Relevance: 9: Introduction: Will Morony.- 10: Coherence in a Range of Mathematics Curriculum Reforms: Will Morony.- 11: Coherence and Relevance Relating to Mathematics and Other Disciplines: Simon Modeste, Joaquín Giménez, José Luis Lupiáñez, Jaime Carvalho e Silva and Nga Nguyen Thi.- 12: Coherence and Relevance of Materials and Technologies to Support Mathematics Curriculum Reforms: Jennie Golding.- 13: What Theories and Methodologies Are Appropriate for Studying Phenomena Related to Mathematics Curriculum Reforms?: Berta Barquero, Britta Eyrich Jessen, Juan Ruiz-Hidalgo and Jennie Golding.- 14: Conclusion: Achieving Coherence and Relevance in Mathematics Curriculum Reforms: Some Guiding Principles: Will Morony.- Part IV: Theme C –Implementation of Reformed Mathematics Curricula Within and Across Different Contexts and Traditions.- 15: Introduction: Angel Ruiz.- 16: A First Exploration to Understand Mathematics Curricula Implementation: Results, Limitations and Successes: Angel Ruiz, Mogens Niss, Michèle Artigue, Yiming Cao and Enriqueta Reston.- 17: Towards a Model for Monitoring and Evaluating Curricular Reforms: Steve Thornton, Maitree Inprasitha, Angel Ruiz, Masami                Isoda, Narumon Changsri and Kristen Tripet.- 18: Teachers, Resources, Assessment Practices: Role and Impact on the Curricular Implementation Process: Alf Coles, Luis Rodríguez-Muñiz, Ida Ah Chee Mok, Angel Ruiz, Ronnie Karsenty, Francesca Martignone, Iman Osta, Federica Ferretti and Thi Tan An Nguyen.- 19: Conclusion: ‘Laws’ of Curriculum Implementation and the Future in which We Are Living: Angel Ruiz.- Part V: Theme D – Globalisation and Internationalisation and their Impacts on Mathematics Curriculum Reforms.- 20: Introduction: Max Stephens, Djordje Kadijevich, Mogens Niss, Nadia Azrou and Yukihiko Namikawa.- 21: The Evolution and Uptake of Numeracy and Mathematical Literacy as Drivers for Curriculum Reform: Merrilyn Goos and Kathy O’Sullivan.- 22: Impacts of TIMSS and PISA on Mathematics Curriculum Reforms: Djordje Kadijevich, Max Stephens, Armando Solares-Rojas and Raisa Guberman.- 23: Emergence of Computational/Algorithmic Thinking and its Impact on the Mathematics Curriculum: Djordje Kadijevich, Max Stephens and Abolfazl Rafiepour.- 24: Conclusion: Future Visions of the Impact of Internationalisation and Globalisation on School Mathematics Curriculum: Max Stephens, Merrilyn Goos and Djordje Kadijevich.- Part VI: Theme E – Agents and Processes of Curriculum Design, Development and Reforms in School Mathematics: 25: Introduction: Ellen Jameson, Peter Sullivan and Ferdinando Arzarello.- 26: Case Studies in Agents andProcesses of Mathematics Curriculum Development and Reform: Iman Osta, Fidel Oteiza, Peter Sullivan and John Volmink.- 27: Modelling Curriculum Reforms: A System of Agents, Processes and Objects: Ellen Jameson and Janette Bobis.- 28: Boundary in Curriculum Reform: Alon Pinto and Jason Cooper.- 29: Teacher Professional Identity and Curriculum Reform: Stephen Quirke, Lorena Espinoza and Gérard Sensevy.- 30: Conclusion: Implications for Active Curriculum Reform Work and Future Research: Ellen Jameson, Peter Sullivan and Ferdinando Arzarello.- Part VII: International Perspectives and Influences on School Mathematics Curriculum Reforms: 31: Introduction: Yoshinori Shimizu and Renuka Vithal.- 32: OECD Learning Compass 2030: Implications for Mathematics Curricula: Miho Taguma, Kelly Makowiecki and Florence Gabriel.- 33: Making Sense of Mathematics and Making Mathematics Make Sense: William McCallum.- 34: School Mathematics Curriculum Reforms: Insights and Reflections: Berinderjeet Kaur.- Part VIII: Commentaries on ICMI Study 24: 35: Introduction: Renuka Vithal and Yoshinori Shimizu.- 36: Language of Teaching and Learning and School Mathematics Curriculum Reform: Tensions in Equity and Access: Anjum Halai.- 37: A Cultural–Political Reading of School Mathematics Curriculum Reform: Paola Valero.- Part IX: Conclusion to ICMI Study 24: 38: Key Messages and Lessons from Mathematics Curriculum Reforms around the World: Renuka Vithal and Yoshinori Shimizu.- Afterword: Jill Adler.- Subject Index / Author Index.