Visual templates in pattern generalization activity

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Exploring mathematical connections of pre-university students through tasks involving rates of change (2018, background): “This indicates that they are in an abductive phase in the sense of Rivera [53] because they give a hypothesis to explain a given pattern (the formula for the slope) based on the available examples, but they did not achieve the inductive phase of extending the pattern that underlies in the general fo”
Developing students’ functional thinking in algebra through different visualisations of a growing pattern’s structure (2016, background): “This again emphasises the importance of pattern selection for supporting student’s developing ability to generalise explicitly, as raised by Rivera (2010).”