Mathematics Classroom Observation Campus Name:_______________________________ Date:__________________________ Teacher Name:____________________________ Time:________________________ Lesson observed based on grade level standards: Yes No I. Recommendations: 4 5 Sparsely equipped 3 4 Inhibited interactions among students Rearrange classroom to facilitate student interactions (such as partners or small groups). 5 Facilitated interactions among students 3. Classroom Displays: 1 2 Post important mathematics content information. 3 4 Limited displays 1. 5 Rich collection of appropriate displays including student work Display samples of student work. Classroom Organization/ Grouping: Recommendations: Structure lessons to include activities so that students are grouped in multiple ways. Indicate the major way(s) in which student activities were structured. As a whole group Additional math manipulatives and/or resources should be acquired for this classroom. Rich in resources 2. Room Arrangement: 1 2 II. Grade Level/Course:_____________________________ Scope & Sequence Resource Being Used:_________________________ Physical Environment: 1. Classroom Resources: 1 2 3 Room Number:__________ As small groups As pairs As individuals 2. Indicate the major way(s) in which students engaged in class activities. Entire class was engaged in the same activities at the same time. Groups of students were engaged in different activities at the same time. 1 Identify special class populations that need “extended” or “reinforcement” activities that will meet their individual needs. III. Instructional Strategies and Activities: Notes: A. Listened to a presentation: By teacher (would include: demonstrations, lectures, media presentations, extensive procedural instructions) By student (would include: informal, as well as formal, presentations of their work) By guest speaker/ “expert” serving as a resource B. Engaged in discussion: Whole group Small group/pairs C. Engaged in problem solving: Worked with manipulatives Played a game to build or review knowledge/skills Followed specific instructions to engage in activity Recorded, represented and/or analyzed data Provided informal communication regarding problem D. Engaged in reading/reflection/written communication about mathematics: Read about mathematics Answered textbook/worksheet questions Reflected on readings, activities, or problems individually or in groups Prepared a written report Wrote a description of a plan, procedure, or problem-solving process Wrote reflections in a notebook or journal E. Used technology/audio-visual resource: To develop conceptual understanding To learn or practice a skill To collect data As an analytic tool (spreadsheets or data analysis) As a presentation tool For word processing or as a communication tool (e-mail, Internet, Web) F. Other activities: Specify:__________________________________________________________ 2 Lesson Design Key Indicators: Ratings: Not at all 1. The lesson reflected careful planning and organization. 2. The instructional strategies and activities used in this lesson reflected attention to students’ experience, preparedness, and/or learning styles. Recommendations: To a great extent Don’t know N/A 6 7 1 2 3 4 5 1 2 3 4 5 6 Prior preparation of materials and resources will increase the flow and ease of the lesson. 7 During prior planning, think through or visualize steps of the lesson to anticipate areas that need specific attention or organization. The use of the following resources or materials would have increased student understanding: 3. The instructional strategies and activities 1 2 3 4 5 reflected attention to issues of access, equity, and diversity for students (ie: use of “wait time,” cooperative learning, language-appropriate strategies/materials). 6 7 4. The design of the lesson encouraged a collaborative approach to learning. 1 2 3 4 5 6 7 Try a variety of instructional arrangements such as partnerships, small groups, cooperative groups, etc. 5. The resources available in this lesson contributed 1 2 3 4 5 to accomplishing the purposes of the instruction. 6 7 Allow students time to make observations, clarifications, or justifications during questioning or discussion time. 6. Adequate time and structure were provided for wrap-up and closure. 1 2 3 4 5 6 7 Allow more time for students to summarize their learning (orally or written). 7. Assessments of students were consistent with instruction. 1 2 3 4 5 6 7 Develop ways to determine student understanding (assessment) during the lesson or as part of the wrap up. Increase the amount of “wait time” after posing questions. 3 Lesson Implementation Key Indicators: Ratings: Not at all Recommendations: To a great extent Don’t know N/A 1. The instructional strategies were consistent with an interactive approach. 1 2 3 4 5 6 7 Design or utilize other resources to plan and implement a more interactive lesson that utilizes a variety of instructional arrangements and strategies. 2. The teacher appeared confident in his/her ability to teach the content. 1 2 3 4 5 6 7 Work through the mathematics content prior to the lesson. 3. The teacher’s classroom management style/strategies enhanced the quality of the lesson. 1 2 3 4 5 6 7 Develop a classroom management system/ strategies (such as ways to distribute materials, etc.) 7 Insert questions throughout the lesson to determine student understanding and adjust the pace according to student needs. 4. The pace of the lesson was appropriate for the developmental levels/needs of the students and the purposes of the lesson. 1 2 3 4 5 6 5. The teacher took into account prior knowledge of 1 2 3 4 5 the students. 6 7 Determine prior knowledge through quick assessing questions at the beginning of the lesson or one day prior to the lesson. 6. The teacher’s questioning strategies were likely to enhance the development of student conceptual understanding/problem solving (e.g., emphasized incorporating open-ended questions, moved toward higher order questions, appropriately used “wait time”). 1 2 3 4 5 6 7 Develop and utilize questions that allow for student thinking (open-ended, higher order, etc.) 7. The lesson was modified as needed based on teacher questioning or other student assessment. 1 2 3 4 5 Use questioning strategies to guide and modify the lesson. 6 4 7 Mathematics Content Key Indicators: Ratings: Not at all 1. The mathematics content was significant and worthwhile. Recommendations: Don’t know N/A 6 7 To a great extent 1 2 3 4 5 Increase the lesson focus on application and problem solving involving skills. Utilize a prior assessment method to determine student levels. Increase the use of open-ended, higher-order questioning strategies, problem situations, and/or a variety of instructional strategies to increase engagement of all students to a higher level. 2. The mathematics content was appropriate for the 1 2 3 4 5 developmental levels of the students in this class. 6 7 3. Students were intellectually engaged with important ideas relevant to the focus of the lesson. 1 2 3 4 5 6 7 4. Teacher-presented information was accurate. 1 2 3 4 5 6 7 Relate concrete/manipulative experiences to the more abstract symbols. 5. The teacher displayed an understanding of mathematics concepts. 1 2 3 4 5 6 7 Relate the abstract symbols to concrete/manipulative experiences to increase student understanding. 6. Elements of mathematics abstraction (e.g. symbolic representations, theory building) were included when it was important to do so. 1 2 3 4 5 6 7 7. Appropriate connections were made to other areas of mathematics, to other disciplines, and/or to real-world contexts. 1 2 3 4 5 6 7 8. The degree of “sense-making” of mathematics content within this lesson was appropriate for the developmental levels/needs of the students and the purposes of the lesson. 1 2 3 4 5 6 7 Work through the content prior to the lesson in order to provide clear, correct information and extension as needed. Connect mathematics concepts to other areas of mathematics as appropriate. Connect mathematics concepts to other disciplines as appropriate. 5 Have students provide explanations, justifications, clarification, and/or summarization of the mathematics they are learning. Classroom Culture Key Indicators: Ratings: Not at all 1. Active participation of all was encouraged and valued. 2. There was a climate of respect for students’ ideas, questions, and contributions. Recommendations: To a great extent Don’t know N/A 6 7 1 2 3 4 5 Increase interactive strategies so that all students participate. Monitor questioning to ensure “equity” by all classroom members. 1 2 3 4 5 6 7 Develop rules and consequences involving respect for fellow students’ ideas, questions, and consequences. 3. Interactions reflected collaborative working relationships among students. 1 2 3 4 5 6 7 4. Interactions reflected collaborative working relationships between teacher and students. 1 2 3 4 5 5. The climate of the lesson encouraged students to generate ideas, questions, conjectures, and/or propositions. 1 2 3 4 5 6. Intellectual rigor, constructive criticism, and the challenging of ideas were evident. 1 2 3 4 5 6 6 6 7 7 7 Implement and enforce current discipline/ management system. Allow students to discuss and work collaboratively to solve problems. Allow students to explain, discuss, and justify mathematics understanding in a warm, friendly environment. Monitor interactions between teacher and student and/or student to student to increase level of courtesy and respect for a positive learning environment. 6