# Mathematics 7-12

The Catholic school, 1977, #41 |
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General Standards |
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CS | M.712 | GS1 | Demonstrate the mental habits of precise, determined, careful, and accurate questioning, inquiry, and reasoning in the pursuit of transcendent truths. |

CS | M.712 | GS2 | Develop lines of inquiry to understand why things are true and why they are false. |

CS | M.712 | GS3 | Have faith in the glory and dignity of human reason as both a gift from God and a reflection of Him in whose image and likeness we are made. |

CS | M.712 | GS4 | Explain how mathematics in its reflection of the good, true, and beautiful reveals qualities of being and the presence of God. |

Intellectual Standards |
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CS | M.712 | IS1 | Explain the nature of rational discourse and argument and the desirability of precision and deductive certainty which mathematics makes possible and is not possible to the same degree in other disciplines. |

CS | M.712 | IS2 | Demonstrate how sound logical arguments and other processes of mathematics are foundational to its discipline. |

CS | M.712 | IS3 | Recognize how mathematical arguments and processes can be extrapolated to other areas of study, including theology and philosophy. |

CS | M.712 | IS4 | Explain how it is possible to mentally abstract and construct mathematical objects from direct observations of reality and how one’s perception of that reality is important to what one is doing (see Appendix F). |

CS | M.712 | IS5 | Recognize personal bias in inquiry and articulate why inquiry should be undertaken in a fair and independent manner. |

CS | M.712 | IS6 | Evaluate the ongoing nature of mathematical inquiry, its inexhaustibility, and its openness to the infinite. |

CS | M.712 | IS7 | Explain man’s limitations of understanding and uncovering all mathematical knowledge. |

CS | M.712 | IS8 | Explain how fundamental questions of values, common sense, and religious and human truths and experiences are beyond the scope of mathematical inquiry and its syllogisms. |

Dispositional Standards |
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CS | M.712 | DS1 | Display a sense of wonder about mathematical relationships, especially mathematical certitude which is independent of human opinion. |

CS | M.712 | DS2 | Share with others the beauty, harmony, proportion, radiance, and wholeness present in mathematics. |

CS | M.712 | DS3 | Advocate for the pursuit of understanding for its own sake and the intrinsic value or discovery of the true and the beautiful often at the requirement of great sacrifice, discipline, and effort. |

CS | M.712 | DS4 | Exhibit appreciation for the ongoing nature of mathematical inquiry. |

CS | M.712 | DS5 | Exhibit habits of thinking quantitatively and in an orderly manner, especially through immersion in mathematical observations found within creation. |

CS | M.712 | DS6 | Propose how mathematical objects or proofs (such as the golden mean, the Fibonacci numbers, the musical scale, and geometric proofs) suggest divine origin. |

CS | M.712 | DS7 | Exhibit appreciation for the process of discovering meanings and truths existing within the solution of the problem and not just arriving at an answer. |

CS | M.712 | DS8 | Exhibit humility at knowing that as a human being man can only grasp a portion of the truths of the universe. |

CS | M.712 | DS9 | Advance an understanding of the ability of the human intellect to know and the desire of the will to want to know more. |

[1] See Appendix F for Mathematics resources.