Part I.Scientific and Mathematics Reasoning in STEM - Conceptual Framework.- Chapter 1.STEM Education: A Platform for Multidisciplinary Learning.- Chapter 2. Integrating Mathematics and Science within the STEM Paradigm.- Chapter 3.Teaching and Learning Representations in STEM.- Chapter 4.Modeling in STEM.- Chapter 5.Survey of the Field of Empirical Research on Scientific Methods in STEM.- Chapter 6.Formulating Conceptual Framework for Multidisciplinary STEM Modeling.- Part II.Scientific and Mathematics Reasoning in STEM Practice.- Chapter 7.Modeling with Exponential Decay Function.- Chapter 8.Exploring Function Continuity in Context.- Chapter 9.Exploring Function Transformations using a Dynamic System.- Chapter 10.Investigating Function Extreme Value - Case of Optimization.