Analyzing Students Thinking Analyzing Students’ Thinking In this chapter, we examine the type of professional development experience in which teachers analyze student thinking as revealed in students’ written assignments, think-aloud problem-solving tasks, class discussions and clinical interviews. Within this kind of professional development sessions, teachers learn to observe various types of student mathematical activity and to interpret what they observe, with the ultimate goal of enhancing their students’ learning opportunities. Theoretical rationale and empirical support In Chapter 1, we discussed the research evidence that supports teachers learning about students’ mathematical thinking. We argued that doing so can help teachers develop not only a knowledge base about students’ conceptions and problem-solving strategies that they can use in planning instruction but also skills for listening to students and interpreting their thinking. This illustration depicts a typical 2-hour-long session in a CGI program.
Math Play - Free Online Math Games illustrativemathematics Illustrated Standards Count to 100 by ones and by tens. (see illustrations) Count forward beginning from a given number within the known sequence (instead of having to begin at 1). (see illustrations) Write numbers from 0 to 20. Understand the relationship between numbers and quantities; connect counting to cardinality. When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object. Understand that the last number name said tells the number of objects counted. Understand that each successive number name refers to a quantity that is one larger. Count to answer “how many?” Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies. Compare two numbers between 1 and 10 presented as written numerals. Fluently add and subtract within 5. Recognize area as additive.
ShowMe - The Online Learning Community Dr. Nicki's Guided Math Blog Math Games - from Mangahigh.com ODE - Mathematics Skip navigation Skip to main content SAFE | State Agencies | Online Services Follow Home > Academic Content Standards > Mathematics Mathematics Contact Information Mathematics Consultant (P) 614- 644-5887 ann.carlson@education.ohio.gov Mathematics Consultant (P) 614-728-2373 annika.moore@education.ohio.gov Mathematics Consultant (P) 614-387-7561 yelena.palayeva@education.ohio.gov Mathematics Consultant (P) 614-644-6814 brian.bickley@education.ohio.gov The State Board of Education has adopted the Common Core State Standards in Mathematics as part of Ohio's suite of Ohio's New Learning Standards for academic learning. Ohio's New Learning Standards Information on the College and Career Ready (Common Core) Standards. Model Curricula These mathematics Model Curricula were written by Ohio educators to support the implementation of Ohio's New Learning Standards for mathematics. In October 2013, Career Connections strategies were added to the Instructional Strategies in the model curricula.
Smarter Balanced Assessments The Smarter Balanced Assessment Consortium is developing a system of valid, reliable, and fair next-generation assessments aligned to the Common Core State Standards (CCSS) in English language arts/literacy (ELA/literacy) and mathematics for grades 3-8 and 11. The system—which includes both summative assessments for accountability purposes and optional interim assessments for instructional use—will use computer adaptive testing technologies to the greatest extent possible to provide meaningful feedback and actionable data that teachers and other educators can use to help students succeed. Smarter Balanced assessments will go beyond multiple-choice questions to include extended response and technology enhanced items, as well as performance tasks that allow students to demonstrate critical-thinking and problem-solving skills. Assessment System Components A summative assessment administered during the last 12 weeks of the school year. Summative Test Blueprints Content Specifications
50 Important Links for Common Core Educators Educators across the nation are working hard this summer to begin developing updated curricula that will fit into the new Common Core State Standards, which will be fully applied in 45 U.S. states (Texas, Alaska, Nebraska, Virginia, and Minnesota have opted out of statewide participation) by 2015. Yet despite the hubbub about the new standards, which were created as a means of better equipping students with the knowledge they need to be competitive in the modern world, many teachers still have a lot of unanswered questions about what Common Core will mean for them, their students, and their schools. Luckily, the Internet abounds with helpful resources that can explain the intricacies of Common Core, offer resources for curriculum development, and even let teachers keep up with the latest news on the subject. Groups and Organizations Useful Resources Curriculum Development Blogs State Tools Some states have created helpful websites for teachers all about Common Core.