# Three challenges to teach informal statistical inferences

A key idea in the teaching and learning of data analytics is perhaps informal statistical inferences, defined as ‘a probabilistic generalization based on the evidence of data’ (Makar & Rubin, 2009).

But the teaching of statistical inferences is not easy. Bakker and Derry (2011) summarised the three challenges which we face when we consider teaching approaches and design sequences of activities for students for teaching informal statistical inferences. These three challenges are relate to:

1. avoiding inert Knowledge – “Even if students have learned the main statistical concepts and graphical displays, they often fail to use them to solve statistical problems.” (p. 7)

2. avoiding atomistic approaches – approaches “found in many textbooks and to foster coherence from a student perspective.” (p. 6)

3. sequencing topics from a student perspective – “If the scientific definition of concept D builds on concepts A, B, and C, should A, B, and C then be taught before D?” (p. 8) but is there an alternative way of sequencing? Bakker and Derry continued “The empirical studies cited previously with young students seem to vote against such a view, because awareness of distribution is intricately connected to awareness of center, spread, skewness, and shape as represented in dot plots, histograms, or box plots.” (p. 8)

Are these challenges common in Spain, Turkey or UK in the teaching of data analytics and statistics? Bakker and Derry (2011) proposed their ideas to overcome these challenges, but I would like to share various opinions before summarising Bakker and Derry’s idea here!

Reference

Bakker, A., & Derry, J. (2011). Lessons from inferentialism for statistics education. Mathematical Thinking and Learning, 13(1-2), 5-26.

Makar, K., & Rubin, A. (2009). A framework for thinking about informal statistical inference. Statistics Education Research Journal, 8(1), 82–105.

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