Focus on mathematics education research

Preface
 Research Mathematicians and Mathematics Educators: Collaborating for Professional Development
 Abstract
 Introduction
 Recorded Lessons in Professional Development
 Theoretical Underpinnings
 The DATUM Process
 Subsequent Developments
 Summary and Future Directions
 References
 The Educational Research of Mathematical Competence
 Abstract
 Introduction
 International Student Assessment
 Standardized Test "Testing T9"
 Statistical Analysis of T9
 Qualitative Analysis of T9
 Assignment Hotel
 Conclusion
 Acknowledgments
 References An Analysis of Instruments That Measure the Quality of Early Mathematics Instruction in Early Childhood SettingsAbstract
 Introduction
 The Early Math Experiences Matter
 Measuring Early Mathematics Teaching Quality
 An Analysis of Observation Instruments That Measure the Quality of Early Mathematics Teaching
 Reformed Teaching Observation Protocol (RTOP)
 Mathematical Quality of Instruction (MQI)
 Classroom Observation Student-Teacher Interactions-Mathematics (COSTI-M)
 Classroom Observation of Early Mathematics-Environment and Teaching (COEMET) High-Impact Strategies for Early Mathematics (HIS-EM)Conclusion
 References
 Laplace Transform in Chemistry Degrees Mathematics Courses
 Abstract
 1. Introduction
 2. An experience in first semester Calculus Courses
 3. Experiences in the ODE Module
 4. Laplace Transform in PDE Module
 4.1. Packed Bed Reactor (PBR)
 4.2. Pollution in the Uruguay River
 5. Results
 5.1. Results in First Year Calculus Courses
 5.2. Results Obtained in Differential Equations Courses
 Conclusion
 Acknowledgments
 References Solving Linear Equations: Will This Pose as a Challenge to Elementary Pre-Service Teachers?Abstract
 Introduction
 Intrinsic Cognitive Load, Element Interactivity and Understanding
 Complexity of Equations
 Element Interactivity
 Special Features
 Equal Sign Concept
 The Present Study
 Method
 Participants
 Materials
 Procedure
 Results
 One-Step Equations
 Two-Step Equations
 Multi-Step Equations
 Group Performance
 Concept Test
 Discussion and Implications
 Limitations and Future Directions
 Appendix A.
 Appendix B.
 References Research Trends in the History of Mathematics Education: The Spanish CaseAbstract
 Introduction
 Mathematics Education in Spain
 A) Areas of Knowledge Were Implemented in the Spanish University System
 B) Creation of Societies of Teachers and Researchers in Mathematics Education
 C) Implantation of PhD Programs in Mathematics Education
 D) State Grants for Research
 Research on History of Mathematics and Mathematics Education in Spain
 Legislation and Curriculum
 Textbooks
 Scientific-Historical-Social Context
 Institutions
 Mathematicians and Books Authors
 Concepts