Preface	5
	Contents	6
	Chapter 1: Introduction	9
	Idea Clusters	9
	Mapping Theory	12
	Context	14
	Book Outline	17
	References	17
	Chapter 2: Lev Vygotsky	19
	The Key Theme in Vygotsky’s Work	25
	Concepts Fundamental to Vygotsky’s Work	25
	Mediation	27
	The Interrelationship Between Thought and Language	28
	The Psychology of Play	28
	Zone of Proximal Development	29
	Scaffolding	30
	Applications	31
	Different Kinds of Activity	36
	Explanation of Notation Used for the Following Sections	36
	Situational Activities	36
	Pedagogical activities	38
	Mathematizing Activities	40
	Summary	43
	References	43
	Chapter 3: Michel Foucault	46
	Foucault’s Early Work	48
	Foucault’s Archaeological Phase	49
	Foucault’s Genealogical Phase	50
	Foucault’s Turn to Ethics	51
	Key Concepts in Foucault’s Toolkit	53
	Discourse	53
	The Subject	55
	Power	56
	Power-Knowledge	57
	Power-Knowledge-Truth	57
	Regime of Truth	58
	Governmentality	58
	Technologies of the Self	58
	Applications	59
	Summary	68
	References	69
	Chapter 4: Jacques Lacan	72
	Subjectivity	75
	Concepts Grounding the Theory of the Subject	77
	Applications	82
	Contextualizing an Analysis of Gendered Subjectivity	86
	Stories from Home and Early School	87
	The Order of the Classroom	89
	Mathematical Identity in Conflict	92
	Summary	94
	References	95
	Chapter 5: Gilles Deleuze	99
	Introduction	100
	State Versus Nomadic Mathematics	101
	Difference, Identity and Number	102
	Chance and the Differential	103
	A Zigzag Learning Trajectory	106
	Smooth and Striated Space	109
	Applications	112
	The Philosophy of Mathematics	113
	What Is Number?	114
	Expanding the Concept of Number	117
	Summary	123
	References	124
	Chapter 6: Bruno Latour	127
	Introduction	128
	What is the Social?	129
	Follow the Actors	130
	Follow the Controversy	132
	The Role of Speculation and Art	134
	Assemblages and Relational Ontology	136
	Imitation and the Quantitative	137
	Applications	139
	Big Networks and Graph Analysis	139
	Tracking Associations and Imitations	140
	The Nonhuman Actant: Instructional Technology	143
	Summary	152
	References	153
	Chapter 7: Karen Barad	155
	Introduction	156
	Rethinking Matter	157
	The Material-Discursive and Relationality	159
	What Does Diffraction Look Like?	161
	More Than Human Performativity	164
	The Polyamorous Field of Concepts	167
	Applications	171
	Design and Teaching Experiments	171
	A Diffractive Apparatus	173
	The Virtuality of Time and Gesture	175
	Summary	178
	References	178
	Chapter 8: Concluding Narratives	180
	Phase 1: Preliminary Email Discussions	182
	Phase 2: Skype Meetings and Further Emails	184
	Phase 3: Face-to-Face Discussions	186
	Phase 4: Continuing Email Discussions and Skype Meetings	187
	Phase 5: Reviewing and Finalizing the Theorists	193
	References	195
	Index	196