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José Luis Cortina – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
We discuss the importance of bringing teaching to the forefront of instructional design. We do so by describing the process of developing an instructional sequence for early number, using design research. The instructional sequence was developed with the specific aim of supporting teaching, conceived as a complex and demanding job, not reducible…
Descriptors: Instructional Design, Educational Resources, Mathematics Instruction, Learning Trajectories
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Caro, Diana García; García, Carlos Valenzuela; Sanz, María T.; González, María S. García – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
This paper describes the conceptions about complex numbers that a group of university students has, these were built from the application of an activity sequence centered on these numbers. This sequence is based on the APOS theory, some aspects of semiotic representation theory, and the use of digital technology. Particularly, both the general…
Descriptors: Undergraduate Students, Student Attitudes, Knowledge Level, Number Concepts
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Norton, Anderson; Ulrich, Catherine; Kerrigan, Sarah – North American Chapter of the International Group for the Psychology of Mathematics Education, 2020
We introduce a methodology for diagramming the ways students use sequences of mental actions to solve mathematical tasks. We studied 12 pre-service teachers as they solved a set of fractions tasks, ranked by cognitive demand. We present the unit transformation graphs for one of those pre-service teachers, to illustrate how she experienced and met…
Descriptors: Mathematics Education, Problem Solving, Preservice Teachers, Preservice Teacher Education
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Madden, Oneil; Nelson, Trishana; Barnett-Passard, Rona – Research-publishing.net, 2021
Telecollaboration allows for students to develop foreign/second language competences linguistically, culturally, and interculturally. The use of platforms, such as WhatsApp and Zoom, is now more frequently exploited in foreign language education to ensure that a wider cross section of students, including Jamaicans, can develop global competences.…
Descriptors: Intercultural Communication, Cultural Awareness, Learning Processes, Second Language Learning
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Vanegas, Yuly Marsela; Gimenez, Joaquin; Font, Vicenç; Díez-Palomar, Javier – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
In this paper we present how the redesign of professional tasks in the teachers' formation of Secondary Mathematics Teachers influences changes in didactical analysis competency of future secondary school teachers. We draw on data collected from 3 groups of prospective teachers, using qualitative methods. We discuss how the training on the use of…
Descriptors: Teacher Education Programs, Secondary School Teachers, Mathematics Teachers, Reflection
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Mettler, Everett; Massey, Christine M.; Kellman, Philip J. – Grantee Submission, 2011
Adaptive learning techniques have typically scheduled practice using learners' accuracy and item presentation history. We describe an adaptive learning system (Adaptive Response Time Based Sequencing--ARTS) that uses both accuracy and response time (RT) as direct inputs into sequencing. Response times are used to assess learning strength and to…
Descriptors: Reaction Time, Accuracy, Cognitive Science, Grade 3