## Bethlehem University Undergraduate Catalog 2021-2022 |

## Faculty of Education - Department of Curriculum and Pedagogy |

**Knowledge**

Students are expected to be able to:

- show deep knowledge of the basic areas of Mathematics, the basic techniques, and some applications of areas of Mathematics
- show deep understanding of correct use of Mathematical language, inductive and deductive reasoning, mathematical thinking and logical approaches
- deep knowledge of Mathematical proof techniques and pitfalls of some of these techniques and mathematical manipulations
- demonstrate knowledge of key concepts in mathematics, in particular, proofs, analytical and computational skills
- deep knowledge of the5. Knowledge of fundamental Theorems in Mathematics such as: Fundamental Theorems of Calculus
- deep knowledge of the Fundamental Theorems of Arithmetic
- deep knowledge of Fermat and Wilson Theorems Lagrange Theorem, Central Limit Theorem, Sylow Theorem, Limit Theorems,
- deep knowledge of Monotone Conversions Theorem, Theorems of continuity, differentiability, and integrals, … .
- deep knowledge of Methods of numerical calculations
- knowledge of Statistical inference and the application of statistical methods in teaching and research
- deep understanding of Application of Mathematics in other subject areas and in the real world such as modeling, problem based learning and some applications to other subjects

**Skills (Intellectual and Practical)**

Students are expected to be able to:

**Intellectual**

- perform mathematical operations at a prescribed level of proficiency
- integrate information technology in their learning of Mathematics
- construct logical proofs, solutions and logical mathematical debates
- present Mathematical arguments with accuracy and clarity in an adequate short time
- select and conduct the appropriate methods for statistical analysis
- develop logical algorithms to solve and approximate mathematical problems
- write clearly a report using correct mathematical terminology and logic
- make a model to solve real life problem
- relate between the different concepts in Mathematics and to investigate and use the critical thinking skills for the purpose of problem solving

**Practical**

- calculate, evaluate and to solve mathematical problems with accuracy and fluently in a short time as much as possible
- use different mathematical computer software such as: SPSS, Mathlab, Mathematica, Visio, C++, and Microsoft office

**Attitude**

Students are expected to be able to:

- write and to communicate mathematical presentations and proofs
- analyze and to solve mathematical problems logically and creatively
- use mathematics independently
- transfer his/her information technology knowledge to a new one
- develop the power of critical and analytical thinking among students and to encourage them to take initiatives
- develop commitment to self-learning
- work effectively within a team
- attain confidence in proposing solutions to mathematical problems