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  2. Proportional reasoning - Wikipedia

    en.wikipedia.org/wiki/Proportional_reasoning

    So the answer is 3 because ⁠ 1 / 2 ⁠ × 3 × 8 = 12." A correct multiplicative answer is relatively rare. By far the most common answer is something like: "2 units because the water level on the right side increased by two units so the water level on the left side must decrease by two units and 4 – 2 = 2."

  3. Mathematical Kangaroo - Wikipedia

    en.wikipedia.org/wiki/Mathematical_Kangaroo

    In Canada, math contest clubs for elementary school children teach "questions typical of the Math Kangaroo contest", starting with those with a visual component and helping to develop logic and spatial reasoning. [9] Students in Pakistan took part for the first time in 2005, the numbers increasing each year since. [10]

  4. Investigations in Numbers, Data, and Space - Wikipedia

    en.wikipedia.org/wiki/Investigations_in_Numbers...

    Investigations was developed between 1990 and 1998. It was just one of a number of reform mathematics curricula initially funded by a National Science Foundation grant. The goals of the project raised opposition to the curriculum from critics (both parents and mathematics teachers) who objected to the emphasis on conceptual learning instead of instruction in more recognized specific methods ...

  5. Three prisoners problem - Wikipedia

    en.wikipedia.org/wiki/Three_Prisoners_problem

    This adds up to the total of ⁠ 1 / 3 ⁠ of the time (⁠ 1 / 6 ⁠ + ⁠ 1 / 6 ⁠) A is being pardoned, which is accurate. It is now clear that if the warden answers B to A (⁠ 1 / 2 ⁠ of all cases), then ⁠ 1 / 3 ⁠ of the time C is pardoned and A will still be executed (case 4), and only ⁠ 1 / 6 ⁠ of the time A is pardoned (case

  6. OpenAI unveils 'o3' reasoning AI models in test phase - AOL

    www.aol.com/openai-unveils-o3-reasoning-ai...

    The o1 models are capable of reasoning through complex tasks and can solve more challenging problems than previous models in science, coding and math, the AI firm had said in a blog post.

  7. Standards-based assessment - Wikipedia

    en.wikipedia.org/wiki/Standards-based_assessment

    Example from the British Columbia Grade 3 Curriculum Package (September 2010): "It is expected that students will view and demonstrate comprehension of visual texts (e.g., cartoons, illustrations, diagrams, posters)" [7] Example from the New Zealand curriculum document Mathematics Standards for Years 1-8, by the end of year 5:

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