![]() Findings about the influence of format on the range of strategies were inconclusive but analysis indicated sporadic evidence of possible influences. Study with Quizlet and memorize flashcards containing terms like What is the 2nd difference for 6, 14, 24, 36, 50., What is the pattern for the 1st. Building from Square and Factor Search were the most successful methods of Building a Relationship. The formula is for a quadratic sequence, but the sequence increases by 11 each. Sequence of Differences was the most common strategy, but Building a Relationship was more likely to lead to the right formula. Show that the sequences whose position-to-term rules are and have a term. ![]() In quadratic sequences, the first difference changes every time. In a quadratic sequence, the difference between each term increases, or decreases, at a constant rate. In this video we look at quadratic sequences, and how to find the nth term for them. Qualitative analysis of eye-tracking data offers several strategies: Sequence of Differences, Building a Relationship, Known Formula, Linear Recursive and Initial Conjecture. Sequences are sets of numbers that are connected in some way. MAI 5.6-5.7 Rules of differentiation S MAI 5.8 Monotony - Concavity - Optimization S. ![]() ![]() Our aims are to identify their strategies and to explore whether and how format influences these strategies. Arithmetic Sequences S MAI 1.6 Geometric Sequences S. Participants’ approaches to identifying the nth term were recorded with eye-tracking technology. In this study, we identify ways in which a sample of 18 graduates with mathematics-related first degrees found the nth term for quadratic sequences from the first values of a sequence of data, presented on a computer screen in various formats: tabular, scattered data pairs and sequential. ![]()
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