Texas Administrative Code › Title 19 - EDUCATION › Part 2 - TEXAS EDUCATION AGENCY › Chapter 127 - TEXAS ESSENTIAL KNOWLEDGE AND SKILLS FOR CAREER DEVELOPMENT AND CAREER AND TECHNICAL EDUCATION › Subchapter O - SCIENCE, TECHNOLOGY, ENGINEERING, AND MATHEMATICS › Section 127.766 - Discrete Mathematics for Computer Science (One Credit), Beginning with School Year 2012-2013

Current through Reg. 49, No. 28; July 12, 2024
(a) General
				  requirements. Students shall be awarded one credit for successful completion of
				  this course. Prerequisite: Algebra II. This course is recommended for students
				  in Grades 11 and 12.
(b)
				  Introduction.
(1) Career and technical
				  education instruction provides content aligned with challenging academic
				  standards and relevant technical knowledge and skills for students to further
				  their education and succeed in current or emerging professions.
(2) The Science, Technology, Engineering, and
				  Mathematics (STEM) Career Cluster focuses on planning, managing, and providing
				  scientific research and professional and technical services, including
				  laboratory and testing services, and research and development
				  services.
(3) Discrete Mathematics
				  for Computer Science provides the tools used in most areas of computer science.
				  Exposure to the mathematical concepts and discrete structures presented in this
				  course is essential in order to provide an adequate foundation for further
				  study. Discrete Mathematics for Computer Science is generally listed as a core
				  requirement for Computer Science majors. Course topics are divided into six
				  areas: sets, functions, and relations; basic logic; proof techniques; counting
				  basics; graphs and trees; and discrete probability. Mathematical topics are
				  interwoven with computer science applications to enhance the students'
				  understanding of the introduced mathematics. Students will develop the ability
				  to see computational problems from a mathematical perspective. Introduced to a
				  formal system (propositional and predicate logic) upon which mathematical
				  reasoning is based, students will acquire the necessary knowledge to read and
				  construct mathematical arguments (proofs), understand mathematical statements
				  (theorems), and use mathematical problem-solving tools and strategies. Students
				  will be introduced to discrete data structures such as sets, discrete
				  functions, and relations and graphs and trees. Students will also be introduced
				  to discrete probability and expectations. The six strands include creativity
				  and innovation; communication and collaboration; research and information
				  fluency; critical thinking; problem solving, and decision making; digital
				  citizenship; and technology operations and concepts.
(4) Students are encouraged to participate in
				  extended learning experiences such as career and technical student
				  organizations and other leadership or extracurricular organizations.
(5) Statements that contain the word
				  "including" reference content that must be mastered, while those containing the
				  phrase "such as" are intended as possible illustrative examples.