Group items tagged

Number lines are a great resource for any mathematics classroom and a MUST for instruction. Every opportunity for students to make sense of numbers should be taken rather than assumed and an intentional routine use of number lines makes better students. This is a nice resource for having interactions. It's not a great site, but it has potential for routine usage in the classroom.

This problem comprehension or schema knowledge is facilitated when the schema underlying a given text is used as a vehicle to translate the information in the text into a semantic representation. this would involve restating the problem, identifying the problem type (i.e. change), discerning relevant and irrelevant information, determining information that is needed for solution, and representing the problem as a diagram (Mayer, 1999).  Problem solution requires representing the problem as a number sentence or list of operations or identifying subgoals for multistep problems (i.e. strategic knowledge) and carrying out single or chains of calculations (i.e. procedural knowledge; Mayer 1999). Because additive problem structures (i.e. change, group, compare) involve a "family" (e.g. 3, 5, 8), connecting the number family to the problem structures is critical to problem solution (Van de Walle, 2004). Although procedural knowledge is important, it (is extremely limited unless it is connected to a conceptual knowledge base" (Prawat, 1989, p. 10).  SBI- Schema-based instructionGSI- General strategy instruction SBI Components (some not necessarily all) a) SBI that used either number line diagrams to understand the semantic structure of compare word problems or schematic diagrams to solve a range of word problems. b) schema-induction instruction, c) SBI that explicitly taught for transfer by focusing on similar problem types, and d) SBI combined with metacognitive instruction.  different format, different question, unfamililiar vocabulary, irrelevent information, combining problem types, and mixing superficial features

Great new number sense math app. Cost $0.99 at this time but uses: the capabilities of the iPhone well (motion, graphics), multiple representations including linear and circle models, decimals, fractions, percents. Is fast moving and progresses beyond 0 to 1 to have students estimating values like 0.26 on a number line from 0 to 2.  

Making connections to prior knowledge to assist in the learning of math concepts - using number lines, various examples provided.

Please note that I did not intentionally violate the terms of NCTM copyright when I posted this page... I have tried to delete the bookmark and am unable to do so...

Neat tool for teachers. Need a quickly designed number line or graph paper. From NCTM and Illuminations, easy to use but not super easy to manipulate. Good for basic graphics needs.