by focusing kindergarten work on the number core: learning how numbers correspond to quantities, and learning how to put numbers together and take them apart
Quantities and their relationships in physical, economic, public policy, social and everyday situations can be modeled using mathematical and statistical methods.
Introduced last week in its updated form at the FETC 2011 conference in Orlando, FL, the program, Math Fact Fluency, is an all-digital, Internet-based curriculum focused on the fundamentals of addition, subtraction, multiplication, and division.
“Make sense of problems and persevere in solving them. Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution.”
“Reason abstractly and quantitatively. Mathematically proficient students make sense of quantities and their relationships in problem situations.”
“Use appropriate tools strategically. Mathematically proficient students consider the available tools when solving a mathematical problem.”
“Model with mathematics. Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace.”
“Attend to precision. Mathematically proficient students try to communicate precisely to others. They try to use clear definitions in discussion with others and in their own reasoning.”
“Look for and make use of structure. Mathematically proficient students look closely to discern a pattern or structure,” and
“Look for and express regularity in repeated reasoning. Mathematically proficient students notice if calculations are repeated, and look both for general methods and shortcuts.”
Missing entirely from the practice standards is a discussion of how to pose problems, and, more generally, how to ask powerful questions. This is a telling oversight. Unlike in school, real problems are not served up on a platter, fully formed. The standards-writers overlooked the most basic fact of people with genuine math expertise: They find problems!
Is it too late to change this? I hope not. Solving our problem of poor mathematics education depends upon it.
A growing number of schools across the nation are embracing the iPad as the latest tool to teach Kafka in multimedia, history through “Jeopardy”-like games and math with step-by-step animation of complex problems.
The iPads cost $750 apiece, and they are to be used in class and at home during the school year to replace textbooks, allow students to correspond with teachers and turn in papers and homework assignments, and preserve a record of student work in digital portfolios.
“IPads are marvelous tools to engage kids, but then the novelty wears off and you get into hard-core issues of teaching and learning.”
And six middle schools in four California cities (San Francisco, Long Beach, Fresno and Riverside) are teaching the first iPad-only algebra course, developed by Houghton Mifflin Harcourt.