6. Verify that secondary students demonstrate the ability to formulate, represent, and solve problems; logical reasoning and continuous reflection on that reasoning, and a productive disposition toward mathematics. (NCTM/CAEP Standard 5a.ii) Beginning Under the instruction of the teacher candidate, students demonstrate little or no ability to formulate, represent, or to solve problems; display little logical reasoning, engage in little continuous reflection on that reasoning, or have a productive disposition toward mathematics; or show such evidence only once. Capable Under the instruction of the teacher candidate, students demonstrate ability to formulate, represent, and to solve problems; they display logical reasoning, they engage in continuous reflection on that reasoning, and they have a productive disposition toward mathematics, showing such evidence on 3 – 5 occasions. Accomplished Under the instruction of the teacher candidate, students demonstrate a superior ability to formulate, represent, and to solve problems; they display accurate logical reasoning, they engage in continuous reflection on that reasoning, and they have a productive disposition toward mathematics, showing such evidence on more than 5 occasions. Score: __________ Comments: 7. Verify that secondary students demonstrate the application of mathematics in a variety of contexts within major mathematical domains. (NCTM/CAEP Standard 5a.iii) Beginning Under the instruction of the teacher candidate, students show little ability to apply mathematics in a variety of contexts within mathematical domains, or show such evidence only once. Capable Under the instruction of the teacher candidate, students show an ability to apply mathematics in a variety of contexts within major mathematical domains on 3 – 5 occasions. Accomplished Under the instruction of the teacher candidate, students show a superior ability to apply mathematics in a variety of contexts within major mathematical domains on more than 5 occasions. Score: __________ Comments:
6. Verify that secondary students demonstrate the ability to formulate, represent, and solve problems; logical reasoning and continuous reflection on that reasoning, and a productive disposition toward mathematics. (NCTM/CAEP Standard 5a.ii) Beginning Under the instruction of the teacher candidate, students demonstrate little or no ability to formulate, represent, or to solve problems; display little logical reasoning, engage in little continuous reflection on that reasoning, or have a productive disposition toward mathematics; or show such evidence only once. Capable Under the instruction of the teacher candidate, students demonstrate ability to formulate, represent, and to solve problems; they display logical reasoning, they engage in continuous reflection on that reasoning, and they have a productive disposition toward mathematics, showing such evidence on 3 – 5 occasions. Accomplished Under the instruction of the teacher candidate, students demonstrate a superior ability to formulate, represent, and to solve problems; they display accurate logical reasoning, they engage in continuous reflection on that reasoning, and they have a productive disposition toward mathematics, showing such evidence on more than 5 occasions. Score: __________ Comments: 7. Verify that secondary students demonstrate the application of mathematics in a variety of contexts within major mathematical domains. (NCTM/CAEP Standard 5a.iii) Beginning Under the instruction of the teacher candidate, students show little ability to apply mathematics in a variety of contexts within mathematical domains, or show such evidence only once. Capable Under the instruction of the teacher candidate, students show an ability to apply mathematics in a variety of contexts within major mathematical domains on 3 – 5 occasions. Accomplished Under the instruction of the teacher candidate, students show a superior ability to apply mathematics in a variety of contexts within major mathematical domains on more than 5 occasions. Score: __________ Comments: