WGU C109 Elementary Math Methods Practice questions and answers.

According to the Principles and Standards for School Mathematics (2000), curriculum is more than a collection of activities, but rather is considered to be all of the following * focused on important mathematics. * well-articulated across the grades. * coherent in content NOT: formulated on standard methods. According to the Teaching Principle defined by NCTM, effective mathematics teaching requires: understanding what students know and need to learn The Technology Principle states that technology is essential in teaching and learning mathematics. True The NCTM standards does NOT provide a national curriculum for mathematics education True The Principles and Standards for School Mathematics (2000) document makes which of the following statements about drill and practice. Drill may produce short term results on traditional tests NOT: Drill should be considered "doing" mathematics. Drill leads to understanding. Drill leads to mastery of basic skills. In order to create an environment for doing mathematics, the teacher's role is to: create a spirit of inquiry, trust, and expectations. Traditional teaching approaches lead children to accept all of the following: * that they should not expect a to solve a problem without a prescriptive method. * that there is only one way to solve any problem. * that every problem has a predetermined solution. NOT: that making sense of mathematics is what is important A desirable mathematical environment includes: *the focus is on students actively figuring things out. *reasoning is celebrated as students defend their methods and justify their solution. *students are testing ideas and making conjectures, developing reasons and offering explanations. NOT: students are working through practice problems to learn the mathematical strategy. Repetitive drill is NOT needed to do mathematics as you master the skills True Teachers must NOT continue teaching by telling True Constructivist Philosophy has as a basic tenet that: children construct their own knowledge. The constructivist theory proposes all of the following: *effective learning requires reflective thinking. *children must be active learners. *children understand and acquire knowledge differently NOT: a safe environment is necessary to gain mathematical power Benefits of relational understanding include all of the following: *it enhances memory. *it improves problem solving abilities. *it requires less to remember. NOT: it eliminates poor attitudes and beliefs. Skilled use of procedures will NOT lead to conceptual knowledge associated with that procedure. True The more ways a child is given to think about and test an idea, the MORE likely the child will form the idea correctly. True Every idea introduced in the mathematics classroom can and should be completely understood by every child True Traditional problem solving lessons had a teacher explaining the math, students practicing the math followed by applying the mathematics to solving problems. Yet this rarely works because: it assumes wonderful explanations produces understanding. The four steps in evaluating and selecting a problem solving activity include determining: * the solution method that the teacher would use. * the activity's implications on student behavior. *the teacher's and student's responsibilities. NOT: the needed materials and how the activity can be completed. Information that math teachers should provide their students: * mathematical conventions. * clarification of students' methods. * alternative methods. NOT:the preferred method. In the final portion of the problem solving lesson, the students learn to engage in discourse and work as a community of learners. True Your textbook recommends structuring a lesson as before, during, and after rather than explain-then-practice True Several steps exist in planning a problem-based lesson. They are: * Consider the needs of your students. * Think about the before, during and after portions of the lesson. * Decide on a simple task. NOT: Begin with the textbook pages The primary criteria for using drill includes: * the need for a conceptual understanding of the procedure is needed. * the need for flexible strategies is to be encouraged. * the desired outcome is for student understanding. NOT: the need for automaticity with the skill or strategy as a desired outcome. Drill can provide students with... an increased facility with a strategy When drill is assigned for homework, which of the following is important to remember? Keep the drill homework assignment short. A game or repeatable activity may be a problem-based task if the activity causes students to reflect about new or developing mathematical relationships True When pairing students in need of help, it is NOT advisable to randomly pair your student or allow them to select the students they want to work with. True