questions connected with place, story, estimate in a statistical context Randomization of treatments to appreciate that statistical estimators experimental units can eliminate cultural practices, and perspectives exhibit variation across different issues with lurking variables and bias. relevant to local First Peoples samples There may be practical and ethical communities, the local community, and use intuition when sampling concerns (e.g., long-duration studies other cultures distributions via simulations to make on smoking, effectiveness of inferences medications). Communicating and representing How should we design an experiment fluent, flexible, and strategic thinking: Explain and justify statistical thinking and to explore an appropriate research includes: decisions in many ways question? appreciating the role of variation graphical: Represent statistical ideas in concrete, choosing from different ways to Graphical methods should always be pictorial, and symbolic forms investigate a research question used to explore data. Use statistical vocabulary and language to (e.g., Which will be the most Graphical approaches can display data contribute to discussions in the classroom appropriate?) distributions. Take risks when offering ideas in Model: Focus on interpreting data through classroom discourse bar charts, histograms, dot plots, use mathematical concepts and tools boxplots, scatterplots, tables. to solve problems and make decisions Connecting and reflecting Graphical approaches can be used to (e.g., in real-life and/or abstract Reflect on statistical thinking explore the association between scenarios) variables (e.g., clustered bar charts, take a complex, essentially Connect statistical concepts with each scatterplots). scenario and figure out other, other areas, and personal interests Software should be used (e.g., what mathematical concepts and Use mistakes as opportunities to advance Minitab). tools are needed to make sense of it learning What are the advantages and situational contexts: Incorporate First Peoples worldviews, disadvantages of different including real-life scenarios and representations? perspectives, knowledge, and practices to challenges that connect summary statistics: make connections with statistical mathematics with everyday life measures of centre, spread (range, concepts Think creatively: variance, standard deviation by: interquartile range), including being open to trying different summary strategies use of Chebyshev’s inequality appreciating that in statistical use of correlation in measuring contexts, there is often no single association between quantitative variables correct answer
questions connected with place, story, cultural practices, and perspectives relevant to local First Peoples communities, the local community, and other cultures Communicating and representing Explain and justify statistical thinking and decisions in many ways Represent statistical ideas in concrete, pictorial, and symbolic forms Use statistical vocabulary and language to contribute to discussions in the classroom Take risks when offering ideas in classroom discourse Connecting and reflecting Reflect on statistical thinking Connect statistical concepts with each other, other areas, and personal interests Use mistakes as opportunities to advance learning Incorporate First Peoples worldviews, perspectives, knowledge, and practices to make connections with statistical concepts estimate in a statistical context appreciate that statistical estimators exhibit variation across different samples use intuition when sampling distributions via simulations to make inferences fluent, flexible, and strategic thinking: includes: appreciating the role of variation choosing from different ways to investigate a research question (e.g., Which will be the most appropriate?) Model: use mathematical concepts and tools to solve problems and make decisions (e.g., in real-life and/or abstract scenarios) take a complex, essentially scenario and figure out what mathematical concepts and tools are needed to make sense of it situational contexts: including real-life scenarios and challenges that connect mathematics with everyday life Think creatively: by: being open to trying different strategies appreciating that in statistical contexts, there is often no single correct answer Randomization of treatments to experimental units can eliminate issues with lurking variables and bias. There may be practical and ethical concerns (e.g., long-duration studies on smoking, effectiveness of medications). How should we design an experiment to explore an appropriate research question? graphical: Graphical methods should always be used to explore data. Graphical approaches can display data distributions. Focus on interpreting data through bar charts, histograms, dot plots, boxplots, scatterplots, tables. Graphical approaches can be used to explore the association between variables (e.g., clustered bar charts, scatterplots). Software should be used (e.g., Minitab). What are the advantages and disadvantages of different representations? summary statistics: measures of centre, spread (range, variance, standard deviation interquartile range), including summary use of Chebyshev’s inequality use of correlation in measuring association between quantitative variables