D237 WGU Complete Study Guide With Questions And Well Elaborated Answers.

Traditional classroom - correct answer Students copy, memorize, drill, and compute. Students work by themselves. One right way to do it. Right answer is most important. Constructivist Classroom - correct answer Students make sense of the problems for themselves and use strategies to solve them. Collaborative learning environment. Many right ways to solve math problem. Student thinking is most important Golden rules - correct answer 1. Every student must meet the learning objective (you can change the task. We don't want students to do the same task. 2. Look for clues within the question and answers 3. Answers like a constructivist (collaboration, manipulatives) differentiated math instruction - correct answer - Best to avoid presenting step-by-step instruction - Students encouraged to explore multiple strategies - Think-alouds, formative assessments, graphic organizers, real-world tasks - Use step-by-step or explicit instruction with lower level students 3 strategies for planning math for ALL students - correct answer 1. Provide graphic organizers and tables for students to organize their work 2. Utilize formative assessment strategies 3. Use effective wait time when asking questions What strategies can be used to meet the needs of culturally diverse students? - correct answer 1. Use translated documents and word walls 2. Use think alouds when modeling math What two strategies would be effective with students with mild learning disabilities? - correct answer 1. Use step-by-step method when presenting how to multiply single digit 2. Students can use manipulatives when multiplying single digit. Statements that best describe challenges that diverse student may face in the elementary math classroom: - correct answer - Lower level student may process info at a slower pace and require extra time - Boys receive more criticism for wrong answers as well as more praise for correct answers - Gifted students need to be challenged during class or they may become bored What strategies would be most effective to increase student communication? - correct answer - Incorporate think-pair-share strategy - Students draw pictures to represent their thinking What strategy would be most effective to increase discourse (language)? - correct answer - Incorporate think-pair-share - Online discussion forum How can the teacher respond to encourage critical thinking? - correct answer Use effective restatement strategies and have student explain their thinking. ("explain" "elaborate" "justify") Tangrams - correct answer (for fractions) shape blocks Cuisenaire rods/ centimeter rods - correct answer (for fractions) plastic rods Two-colored counters: - correct answer (absolute value, integers) Number line - correct answer (absolute value, integers) Geoboard - correct answer (area and perimeter) Currency - correct answer (place value) Plastic money: - correct answer (place value) Base-ten blocks: - correct answer (place value) Calculators: - correct answer patterns Grid paper: - correct answer (similar shapes) Geometric app: - correct answer (similar shapes) What tools or manipulatives would be best used to teach lesson on dilations(similar shapes) of polygons? - correct answer Grid paper and geometric app Which tool would support a discovery based lesson for students to compare perimeter and circumference? - correct answer Calculator Observational assessment - correct answer teacher walking around with rubric/ anecdotal notes and taking notes on student's success on a task Rubric: - correct answer used to evaluate and/or score a student's work. NOT used to grade, average, or percent A first grade teacher assigned an addition project and distributed rubrics to students. How should the teacher use the rubric when students are done? - correct answer A score should be assigned using the rubric Math-to-math connection: - correct answer linking one math concept to another math concept Relational learning: - correct answer forming connections Part-plus-part equal whole: - correct answer addition Which process has a student demonstrated when they use multiple representations? - correct answer Moving from instrumental to relational learning Theoretical probability - correct answer known probability, what should happen in theory (ex. ½ to get heads) Experimental probability - correct answer what actually does happen when you flip 100 coins Circumference: - correct answer pi x d = 2 x pi x r (Discovery-based lesson on triangles) Which response demonstrates the best conceptual understanding? - correct answer When exploring these shapes, i noticed that the total sum of all angles equals 180 degrees, which means the angles lined up together would form a line Which two student statements demonstrate strong geometry reasoning? - correct answer - The ratio between 5 different circle's circumferences and diameters will always be pi - If i draw lines from one end of a square to the opposite end of a square from each vertice, the lines will intersect at a 90 degree angle. This will always occur if the shape is a square but not with a rectangle 5 PSSM - correct answer 1. Representation: 2.Communication: 3. Reasoning & proof: 4. Connections: 5. problem-solving : Representation - correct answer model and use multiple representations Communication - correct answer students are given opportunities to use precise math language Reasoning & proof: - correct answer students are evaluating conjectures and analyzing evidence Connections: - correct answer students are developing relationships between math being learned and the real-world or other content areas Problem-solving - correct answer students are taking time to self-assess or MONITOR AND REFLECT their math work Bar graph: - correct answer change in number Histogram: - correct answer numerical Stem and leaf plots: - correct answer includes raw data Circle graphs: - correct answer comparing parts to wholes Scatterplots: - correct answer showing relationship between variables What type of representation would best be used to calculate the arithmetic mean of a single data set? - correct answer Stem and leaf plot Which type of graph should the student use to display and compare each subject to the total minutes spent on homework? - correct answer Circle graph because it is comparing part to a whole