TAILIEUCHUNG - Problem posing as a didactic resource in formal mathematics courses to train future secondary school mathematics teachers

This paper reports the results of an exploratory study conducted with future secondary school mathematcs teachers on the introducton of problem-posing tasks in formal mathematcs courses, specifcally in abstract algebra and real analysis courses. | Journal of Technology and Science Education PROBLEM-POSING AS A DIDACTIC RESOURCE IN FORMAL MATHEMATICS COURSES TO TRAIN FUTURE SECONDARY SCHOOL MATHEMATICS TEACHERS Lorena Salazar Solórzano Universidad de Costa Rica. Universidad Nacional de Costa Rica Costa Rica Received November 2014 Accepted December 2014 Abstract Beginning university training programs must focus on diferent competencies for mathematcs teachers, ., not only on solving problems, but also on posing them and analyzing the mathematcal actvity. This paper reports the results of an exploratory study conducted with future secondary school mathematcs teachers on the introducton of problem-posing tasks in formal mathematcs courses, specifcally in abstract algebra and real analysis courses. Evidence was found that training which includes problem-posing tasks has a positve impact on the students’ understanding of defnitons, theorems and exercises within formal mathematcs, as well as on their competency in refectng on the mathematcal actvity. Keywords – Posing problems, Inital training, Mathematcs educaton, Groups, Contnuity. ---------- 1 INTRODUCTION In the last decade, there has been an increase in the number of research studies on the knowledge and competencies that future mathematcs teachers need to acquire in order to succeed in their profession (Rubio, 2012; Ball, Thames & Phelps, 2008; Hill et al., 2008; Silverman & Thompson, 2008; Font, 2011). For example, Rubio (2012) points out that a mathematcs teacher must not only atain competency in mathematcs, but also competency in the analysis of the mathematcal actvity. This work intends to show how training including problem-posing tasks is a powerful tool to facilitate not only the comprehension of mathematcal concepts, but also the refecton on the mathematcal actvity. Specifcally, the objectve of this research was: Objectve: To study the efect that introducing problem-posing tasks in abstract algebra and real .

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• Journal of technology and science education
• Problem posing as a didactic resource in formal mathematics courses
• Formal mathematics courses
• Train future secondary school mathematics teachers
• The mathematcal actvity
• The role of informal science centers in science education
• Informal science center
• Attudes toward science
• Scientfic thinking skills
• Emotional responses to innovative Science teaching methods
• Acquiring emotional data
• General Science teacher education class
• Gamification oral presentation
• ICT and inclusive education
• Attitudes of the teachers in secondary education
• The teachers in secondary education
• Information and Communication Technologies
• Field of great scientific interest
• Academic performance of students admitted
• Different entry certificate in Nigeria certificate
• Education programme in federal college of education
• Federal college of education
• Bring science and technology closer to secondary school
• Technology closer to secondary school
• Secondary school teachers
• Face to face
• Integrating Technology in STEM Education
• The STEM felds
• Efectve classroom experience
• Hands on experiments
• Technology in a model of formative assessment
• Technology in assessment
• European Higher Education Area
• The Computer Engineering
• ‘Standards’ on the bench
• Technological literacy render an adequate image of technology
• Adequate image of technology
• Standards for technological literacy
• Philosophy of technology
• The nature of technology
• Concepts of technology
• Post secondary project based learning in science
• Post secondary project based learning in technology
• Post secondary project based learning in engineering and mathematics
• Post secondary project
• JOTSES internationalisation Goal achieved
• The volumes issues
• Technology and science education
• Analyzing JOTSEs evolution
• Education students think about their ability to write essays
• Education students think
• Write academic essays
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• A case in formative and shared assessment
• Academic assessment in higher education
• Both students and professors
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• Improving evaluation systems in higher education An approach
• The model Working with People
• The Educational Innovation Department
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