1 .		According to the text, today's school algebra includes the following types: I—Generative activities, such as solving equations with an unknown. II—Transformational, such as finding equivalent equations. III—Procedural proficiency as a prerequisite to conceptual development. IV—Global applications through problem solving, modeling, and predicting.     I and II only   I, II, and III only   I, II, and IV only   All of the above.
2 .		The article, "Resolving the Continuing Dilemmas in School Geometry," makes all of the suggestions for the place of geometry in the school mathematics curricula EXCEPT:    Require two-column proofs as the only format.   Require a significant amount of competence from all students.   Require that all K–12 teachers study geometry at the college level.   Require elementary school geometry curriculum by grade level.
3 .		The following are two of the three different aspects of formal proofs discussed in this text: I—Synthetic II—Analytic III—Inductive IV—Deductive     I and II   III and IV   I and III   II and IV
4 .		In the book On the Shoulders of Giants, an author laments the decline of solid geometry because it    is needed before proceeding to second-year algebra.   is not only practical but more understandable for students.   should be included along with a course in trigonometry.   is necessary for understanding isometric drawings.
5 .		When solid geometry is introduced at the secondary level, hands-on experiences are recommended for all of the following reasons EXCEPT:    This method addresses different learning styles.   Students should make and analyze structures.   Students should develop appreciation for architecture.   Students can advance more easily into plane geometry.
6 .		In the book On the Shoulders of Giants, one author suggests which of the following reasons why shape-related mathematics is important?    It has an inherent interdisciplinary nature.   It has a natural connection with hands-on activities.   It is motivating and enjoyable for students.   All of the above.
7 .		The year 1824 was significant when determining the nature of contemporary algebra because    it was proven that the quadratic equation could be used to find the roots of an equation.   an example was found showing that algebra cannot be reduced to geometry.   matrix theory became a part of modern algebra that year.   algebra became a tool for representing numbers and numerical relationships.
8 .		The NCTM Principles and Standards for School Mathematics presents which of the following suggestions regarding the teaching of geometry?    Have students analyze characteristics of shapes at all grade levels.   Have students describe spatial relationships using oral and written language.   Have students use objects and computer programs to demonstrate transformations.   All of the above.
9 .		The 1988 NCTM Yearbook identifies the following forces that are significantly impacting the teaching of algebra: I—The desire of more students to successfully attend college. II—The growth and availability of computer technology. III—The incidence of algebra topics introduced at an earlier age. IV—The demands of society to provide a better educated workforce.     I and II   I, II, and III   II, III, and IV   II and IV
10 .		Which statements correctly characterize inductive and deductive reasoning? I—Explorations lend themselves to inductive reasoning. II—Deductive reasoning cannot be used for conclusive verification. III—Deductive conclusions are always true. IV—Inductive reasoning allows proof based on visual models.     I and II only   I and III only   II and IV only   III and IV only