Framework of Mathematization in Physics from a Teaching Perspective, Gesche Pospiech -- Part I: Perspectives on Mathematics in Physics Education -- The "math as prerequisite" illusion: Historical considerations and implications for physics teaching, Ricardo Karam , Olaf Uhden, Dietmar Höttecke -- Students' understanding of algebraic concepts, André Heck, Onne van Buuren -- Mathematical representations in physics lessons, Marie-Annette Geyer, Wiebke Kuske-Janßen -- What is learned about the role of mathematics in physics while learning physics concepts? A mathematics sensitive look at physics teaching and learning, Olaf Krey -- Part II: Learning Mathematization -- Blending physical knowledge with mathematical form in physics problem solving, Mark Eichenlaub, Edward F. Redish -- Theorems-in-action for problem solving and epistemic views on the relationship between physics and mathematics among pre-service physics teachers, Ileana M. Greca, Ana Raquel Pereira de Ataíde -- Learning to use formulas and variables for constructing computer models in lower secondary physics education, Onne van Buuren, André Heck -- Graph in physics education: from representation to conceptual understanding, Alberto Stefanel -- Comparing student understanding of graphs in physics and mathematics, Maja Planinić, Ana Sušac, Lana Ivanjek, Željka Milin-Šipuš -- Combining physics and mathematics learning: Figuring out the latitude in pre- service subject teacher education, Terhi Mäntylä, Jaska Poranen -- Part III: Teaching Mathematization -- Role of teachers as facilitators of the interplay physics and mathematics, Gesche Pospiech, Bat-Sheva Eylon, Esther Bagno, Yaron Lehavi -- A case study of the role of mathematics in physics textbooks and in associated lessons, Lena Hansson, Örjan Hansson, Kristina Juter and Andreas Redfors -- Starting with physics - A problem-solving activity for high-school students connecting physics and mathematics, Esther Bagno, Hannah Berger, Magen, E. , Polingher, C. , Yaron Lehavi, BatSheva Eylon -- Part IV: Facilitating Mathematization by Visual Means -- Taking the Phys-Math interplay from research into practice, Yaron Lehavi, Roni Mualem, Esther Bagno, Bat-Sheva Eylon -- Algodoo as a Microworld: Informally Linking Mathematics and Physics, Elias Euler, Bor Gregorcic.