Modelling

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This book constitutes revised selected papers from the Second International Workshop on Modelling to Program, M2P 2020, held in Lappeenranta, Finland, in March 2020.

This edited volume presents applications and modelling as a world-renowned sub-field of research in mathematics education. It includes the discussion on students’ development of modelling competency through the teaching of applications and modelling. The teaching of mathematical modelling is considered from different perspectives, such as mathematical, pedagogical-didactical perspectives and critical-societal or socio-political perspectives. Assessment practices (local, regional or international) of modelling activities and difficulties with modelling activities at school and university levels, respectively, are discussed. Use of technology and other resources in modelling activities and their impact on the modelling processes are included in the considerations. Teaching practices, teacher education and professional development programs concerning the integration of applications and modelling in school and university mathematics programs are developed in this context.a

The first book to comprehensively address the theory, kinematic modelling, numerical simulation and applications of vibration assisted machining
Vibration Assisted Machining: Theory, Modelling and Applications covers all key aspects of vibration assisted machining, including cutting kinematics and dynamics, the effect of workpiece materials and wear of cutting tools. It also addresses practical applications for these techniques. Case studies provide detailed guidance on the design, modeling and testing of VAM systems. Experimental machining methods are also included, alongside considerations of state-of-the-art research developments on cutting force modeling and surface texture generation.