This essay focuses on a natural aptitude for mathematical reasoning. They develop their own number sense and may be stronger in conceptual
computing and following rules). We can allow them to begin problem solving with their own informal strategies, followed by making thinking visible through “math talk.” Learners develop mathematical conceptual understanding by making realworld connections and using metacognitive strategies such as self-monitoring and reflection.25 Learners with a natural aptitude for mathematical reasoning use their unschooled “fluid intelligence” to intuitively see relationships and solve problems for which they have not had any formal instruction, and this can emerge at an early age. They develop their own number sense and may be stronger in conceptual understanding than computation. These students will need instructional adaptations.
This including acceleration and enrichment.26 By creating and assessing. This mathematical reasoning talent-targeted teaching and learning goals. This is all learners have focused opportunities for this aptitude to emerge, progress, and advance. Create a Mathematical Reasoning Talent Goal. The sample talent goal for mathematical reasoning requires students to solve. This is a realworld problem related to their Healthy Community by Design proposal .(see Figure 5.8). Students must accurately apply mathematical knowledge and select strategies to calculate the surface area of a building in order to determine the amount and cost of ecofriendly.
the exterior. Once they have researched sustainable materials, they will choose two of these and calculate their costs based on the surface area estimates. Finally, students will analyze and evaluate the results to suggest the best exterior covering for their Livewell community proposal. This mathematical reasoning goal and performance of understanding could appropriately target a different STEM aptitude, such as investigation, or a cross-disciplinary aptitude, such as curiosity or insight. Clustering several aptitudes in a goal provides more opportunities for students to discover and develop their talents. To challenge students, write a mathematical reasoning cluster goal. Mathematical Reasoning Cluster Goal Students will use curiosity, mathematical reasoning, and insight to calculate the surface area of a building and the cost to cover the exterior using sustainable materials.