E N D
What is “Common Core?” The Common Core State Standards (CCSS) in English and math describe what students should know and be able to do at each grade level. They have been adopted by 45 states (including California) since 2010 with the idea that having the same standards helps all students get a good education, even if they change schools or move to a different state.
What prompted the creation of the Common Core Standards? In recent years, colleges and universities, as well as employers, have seen a lack of preparation for college (or the workforce) in an increasing number of high school graduates. For this reason, representatives from higher education and employers collaborated to create the Common Core Standards to emphasize critical thinking, real-world problem solving, and the ability to communicate effectively about the problems being addressed.
Common Core Standards in Mathematics Mathematics educators at all levels should seek to develop in their students problem solving, reasoning and proof, communication, representation, and connections, adaptive reasoning, strategic competence, conceptual understanding, procedural fluency, and productive disposition (inclination to see mathematics as sensible, useful, coupled with a belief in diligence and one’s own efficacy).
8 Standards in the Common Core • Make sense of problems and persevere in solving them. • Reason abstractly and quantitatively. • Construct viable arguments and critique the reasoning of others. • Model with mathematics • Use appropriate tools strategically. • Attend to precision. • Look for and make use of structure. • Look for and express regularity in repeated reasoning.
8. Look for and express regularity in repeated reasoning Mathematically proficient students notice if calculations are repeated, and look both for general methods and for shortcuts. • Upper elementary students might notice when dividing 25 by 11 that they are repeating the same calculations over and over again, and conclude they have a repeating decimal. • By paying attention to the calculation of slope as they repeatedly check whether points are on the line through (1, 2) with slope 3, middle school students might abstract the equation (y – 2)/(x – 1) = 3. • Noticing the regularity in the way terms cancel when expanding (x – 1)(x + 1), (x – 1)(x2 + x + 1), and (x – 1)(x3 + x2 + x + 1) might lead them to the general formula for the sum of a geometric series. As they work to solve a problem, mathematically proficient students maintain oversight of the process, while attending to the details. They continually evaluate the reasonableness of their intermediate results.
What is the “best-case” outlook for community college instructors as the CCSS are implemented in California? • Little change in content or pedagogy for existing courses • Less need for remedial (basic skills) courses, leading to a shift toward more sections of more advanced courses
What is the “worst-case” outlook for community college instructors as the CCSS are implemented in California? • If significant changes are mandated by the California Department of Education in the scope of various high school courses (Algebra 1 and Algebra 2, for example) that are require for entrance to universities, and this causes changes in what universities require for entrance, then community colleges may be required to change the corresponding courses (in both content and delivery) in order to meet transfer requirements. • Students may be less proficient at skills and procedures, thus creating the need for more basic skills courses offered at the community college level.
Resources • Common Core State Standards (CCSS) Web Site: http://www.cde.ca.gov/re/cc/ • SMARTER Balanced Assessment Consortium Web Page: http://www.cde.ca.gov/ta/tg/sa/smarterbalanced.asp • Career Technical Education (CTE) Standards: http://www.cde.ca.gov/ci/ct/sf/ctemcstandards.asp • Mathematics Assessment Project • http://map.mathshell.org/materials/lessons.php?taskid=218&subpage=concept • CCSS Implementation Timeline: http://www.cde.ca.gov/re/cc/tl/index.asp
Contact Information If you would like any of the content in electronic form, or have other questions, please contact… LillBirdsall: BirdsaL@arc.losrios.edu Dean Pietromonaco: pietrod@flc.losrios.edu Chris Heeren: heerenc@arc.losrios.edu