Psychology and Mathematics

Programme Learning Outcomes

Upon successful completion of this programme of study, graduates will be able to demonstrate:

• a detailed understanding of the theory, concepts and methods pertaining to Psychology and a range of Mathematical topics and how each is influenced by the other. This includes, for example: familiarity with the core components of Psychology as a discipline, major theoretical perspectives, research methodologies, empirical findings and historical trends; familiarity with a range of mathematical topics, including probability and statistics, analysis, algebra and geometry; familiarity with the use of advanced numerical methods in the analysis of psychological data; familiarity with the use of psychological theory in the development of mathematical models;

• understanding and application of psychological principles and mathematical tools to personal, social, organisational and everyday issues; An ability to: describe major applied areas of Psychology and Mathematics; articulate how psychological principles can facilitate change; a working knowledge of how mathematics is applied in the analysis of the natural and man-made world and in the psychological research of human behaviour; recognise that ethically complex situations may develop in the application of psychological principles; identify appropriate applications of Psychology and Mathematics in solving problems, such as: the importance of social engagement and mitigation of social isolation; origin and treatment of abnormal behaviour; psychological tests and measurements; psychology based interventions in varied settings and their empirical evaluation;

• knowledge and understanding of basic research methods including research design, data analysis and interpretation. An ability to: describe the basic characteristics of both the science of Psychology and the science of Mathematics; explain different research methods used by psychologists and the ways in which mathematical tools influence and support these methods; evaluate the appropriateness of research conclusions; design and conduct appropriate studies to address real-world questions; follow the Psychological Society of Ireland code of ethics in the treatment of human and nonhuman participants; use mathematical software to solve mathematical problems in the area of statistics, modelling and numerical analysis; generalise research conclusions appropriately; and an ability to develop and write mathematical proofs;

• demonstrate a respect for and use of critical and creative thinking, sceptical enquiry, logical argument, analytical reasoning and, when possible, the scientific approach to solve problems related to behaviour and mental processes by an ability to: use critical thinking skills effectively; engage in creative thinking; utilise reasoning to recognise, develop, defend and criticise arguments and other persuasive appeals; approach problems effectively; model and analyse real world problems by reformulating these problems in a mathematical context;

• the ability, knowledge, skills and competencies to communicate effectively in a variety of formats; effective writing skills in various formats and for various purposes; effective oral communication skills in various formats; effective interpersonal communication skills; an ability to collaborate effectively; an ability to use advanced skills to conduct research; an ability to solve mathematical problems independently and be able to justify relevant solutions; an ability to apply modelling and programming in research, clinical and business settings;

• an ability to: pursue realistic ideas about how to apply knowledge of Psychology and Mathematics (e.g., life-span processes, application of mathematical models in the real-world, psychological assessment, advanced statistical reasoning skills, risk assessment and financial modelling) to formulating career choices; identify the relevant academic experience and performance to be effective at entry-level in the work-force and/or that enable entry to NFQ level 9/10 awards; describe preferred career paths based on accurate self- assessment of abilities, achievement, motivation and work habits; identify and develop skills and experiences relevant to achieving career goals; understand the importance of lifelong learning and personal flexibility to sustain personal and professional development;

• an ability to: develop insight into their own and others behaviour and mental processes; apply effective strategies for self-management and self-improvement; reflect on their experiences and find meaning in them; apply psychological principles to promote personal development; enact self-management strategies that maximise healthy outcomes; display high standards of personal integrity with others; display an awareness of the need to update, broaden or deepen their knowledge/skill set through research, academic or professional training; independently acquire further expertise and to ensure that the use of this expertise complies with the ethical standards of the psychological and mathematical profession and community;

• an understanding of the need for the highest ethical standards of practice in the application of Psychology and Mathematics in varied settings; an ability to give clear and organised written/verbal explanations of relevant theories and concepts; recognise, understand and respect the complexity of sociocultural and international diversity; interact effectively and sensitively with people from diverse backgrounds and cultural perspectives; understand how privilege, power and oppression may effect prejudice, discrimination and inequity; understand that, as part of a team, it is important to consider the opinions of other members and to put in place a plan/design/process that is cognisant of these opinions.