This study determined the mechanisms pupils’ employ in judging probabilistic situations using their intuition and the effect of using discovery and reflective teaching-based approaches in developing pupils’ probabilistic intuitive thinking, prior to their learning of basic probability concepts. Discovery and reflective teaching-based approaches refer to a teaching strategy that is centered on activities where students are presented with situations that require them to judge probabilistic situations using their initial thinking (labeled as intuition in this study), analyzing and investigating their intuition, and reflecting on their judgments. The participants were from two randomly selected sections of 5th and 6th grade pupils in a public elementary school in the 1st Congressional District of Valenzuela City, Philippines. Two instruments were used: (1) a problem set adapted from the study of Fishbein and Gazit (1954) and (2) an unstructured interview. A mixed methods design was utilized in the analysis of data. Chi-square test of goodness of fit was used to analyze the frequency of correct responses in the pretest and posttest of the adapted problem set while thematic analysis was employed in analyzing the interview transcripts. Results showed that there is a significant difference between the frequency of correct responses in the pretest and posttest for both fifth and sixth grade students. This implies that discovery and reflective teaching-based approaches were effective in developing pupils’ probabilistic intuitive thinking. Additionally, thematic analysis revealed that pupils rely on past experiences particularly experiences that involve playing games in judging probabilistic situations.

Authors:
Kier Baugbog, Ateneo de Manila University, Philippines
Catherine Vistro-Yu, Ateneo de Manila University, Philippines

About the Presenter(s)
Mr. Kier Baugbog is a Graduate student of Ateneo de Manila University, Philippines. He is interested on the role of intuition in mathematics education. His research focuses on understanding and developing kids probabilistic intuitive thinking.

Connect on Linkedin
https://www.linkedin.com/in/kier-baugbog-bb108a168/

See this presentation on the full schedule – Monday Schedule

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