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Strategic Problem-Solving: Recognize and Extend Patterns

Gabriel Wilensky

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ecognizing sequences — whether in numbers, colors, events, or ideas — builds the foundation for mathematical reasoning, scientific observation, and logical planning. Children often rush past these patterns, missing critical clues that would help them organize information or predict outcomes. Teaching them to ask, “What comes next?” trains them to slow down and observe carefully, a skill vital for success in school and in future fields like programming, analysis, or research.

One evening, my son played absentmindedly with colored beads, arranging them randomly until I asked if he could find a pattern. Curious, he lined up red, blue, red, blue — and then guessed what should come next. As he identified the emerging sequence, his face brightened with understanding. That simple shift in focus taught him that order often hides in plain sight, waiting for an attentive mind to uncover it.

You can nurture this ability by setting up simple sequence hunts each week. Offer your child a set of objects, patterns, or numbers and ask them to predict what should follow. Help them record their discoveries in a “Pattern Journal,” drawing connections between different types of sequences they encounter. Games like “Sequence Star” or hands-on bead kits bring playful reinforcement. Over time, recognizing structure will become second nature, equipping them to tackle complex tasks with methodical clarity.

Strategic Problem-Solving

Table of contents

TIPS

  • Ask “What repeats?” or “What comes next?”
  • Use hands-on toys or visuals to build recognition
  • Start with obvious patterns, then increase complexity
  • Link to music, nature, and math
  • Praise careful attention to order, not just speed

ACTIVITIES

  • Color Order: Arrange toy colors or beads, then guess what comes next — 10 min
  • Sound Sequence: Tap a rhythm, have your child predict and repeat it — 10 min
  • Number Grid: Use number sequences or shapes to guess the rule — 10 min

TOOLS

Bead sets, Sequence Star kit, pattern cards

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