|
Figure
|
Category
|
Germany
|
Japan
|
United
States
|
|
|
Percentage
very nervous |
3.93
|
3.75
|
4.13
|
|
|
Percentage
somewhat nervous |
4.40
|
5.86
|
4.18
|
|
|
Percentage
not very nervous |
4.25
|
2.73
|
5.86
|
|
|
Percentage
not at all nervous |
3.14
|
3.63
|
6.17
|
|
|
Better
than usual |
1.58
|
2.52
|
2.55
|
|
|
Same
as usual |
5.03
|
6.60
|
4.82
|
|
|
Worse
than usual |
4.82
|
7.07
|
4.80
|
|
|
Teaching
methods |
0.07
|
0.09
|
0.09
|
|
|
Students'
behavior |
0.09
|
0.05
|
0.10
|
|
|
Tools/materials
|
0.06
|
0.08
|
0.09
|
|
|
Lesson
as whole |
0.05
|
0.06
|
0.08
|
|
|
Grade
level of content |
0.24
|
0.19
|
0.29
|
|
|
All
review |
2.62
|
0
|
4.79
|
|
|
Mostly
review |
6.70
|
1.90
|
4.43
|
|
|
Half/half
|
6.04
|
8.09
|
4.99
|
|
|
Mostly
new |
6.09
|
7.59
|
4.61
|
|
|
All
new |
4.10
|
5.74
|
5.54
|
|
|
Skills
|
7.85
|
6.19
|
8.07
|
|
|
Thinking
|
6.32
|
6.49
|
5.77
|
|
|
Social
|
1.80
|
0
|
3.85
|
|
|
Test
prep |
0
|
0
|
2.58
|
|
|
Can't
tell |
3.15
|
1.75
|
3.38
|
|
|
Number
of topics |
0.07
|
0.08
|
0.21
|
|
|
Number
of topic segments |
0.09
|
0.08
|
0.33
|
|
|
Concepts
only |
3.75
|
5.41
|
1.15
|
|
|
Applications
only |
4.03
|
4.74
|
6.84
|
|
|
Both
concepts and applications |
4.80
|
7.26
|
6.92
|
|
|
Developed
|
5.26
|
7.11
|
8.56
|
|
|
Stated
|
5.26
|
7.11
|
8.56
|
|
|
Increase
|
3.69
|
9.54
|
5.54
|
|
|
Same/decrease
|
3.69
|
9.54
|
5.54
|
|
|
Percentage
containing teacher-presented alternative solution methods |
2.84
|
3.08
|
5.72
|
|
|
Percentage
containing student-presented alternative solution methods |
4.29
|
8.69
|
2.90
|
|
|
Number
of teacher-presented alternative solution methods |
0.04
|
0.04
|
0.15
|
|
|
Number
of student-presented alternative solution methods |
0.14
|
0.36
|
0.07
|
|
|
Number
of principles/properties |
0.17
|
0.21
|
0.24
|
|
|
Number
of definitions |
0.11
|
0.15
|
0.38
|
|
|
Number
of nodes |
0.61
|
0.35
|
0.72
|
|
|
Number
of links |
0.74
|
0.39
|
1.02
|
|
|
1
Component |
6.14
|
5.73
|
7.48
|
|
|
2
Components |
5.41
|
3.09
|
10.65
|
|
|
More
than 2 components |
5.95
|
4.83
|
7.88
|
|
|
1
Leaf |
8.99
|
9.81
|
8.44
|
|
|
2
Leaves |
8.73
|
8.73
|
9.37
|
|
|
More
than 2 leaves |
8.71
|
4.83
|
7.46
|
|
|
Percentage
containing illustrations |
7.95
|
9.72
|
13.45
|
|
|
Percentage
containing motivations |
9.96
|
10.75
|
4.79
|
|
|
Percentage
containing increase in complexity on nodes |
8.02
|
3.89
|
2.80
|
|
|
Percentage
containing deductive reasoning on nodes |
8.47
|
6.54
|
0
|
|
|
Percentage
containing links coded as increase in complexity |
5.38
|
12.41
|
2.80
|
|
|
Percentage
containing links coded as necessary for result/process |
7.54
|
10.11
|
8.37
|
|
|
Number
of codes per node |
0.04
|
0.09
|
0.04
|
|
|
Number
of codes per link |
0.06
|
0.13
|
0.04
|
|
|
More
single-step tasks |
9.01
|
4.83
|
8.96
|
|
|
Equal numbers of single-
and multi-step tasks |
8.67
|
7.04
|
6.79
|
|
|
More
multi-step tasks |
10.41
|
7.90
|
11.13
|
|
|
All
task controlled tasks |
10.96
|
9.13
|
7.78
|
|
|
Task
and solver controlled tasks |
9.08
|
14.13
|
6.11
|
|
|
All
solver controlled tasks |
5.99
|
15.25
|
4.69
|
|
|
Low
quality math content |
8.33
|
7.49
|
5.63
|
|
|
Medium
quality math content |
7.58
|
11.04
|
5.63
|
|
|
High
quality math content |
7.73
|
8.51
|
0
|
|
|
Desks
in rows |
3.66
|
3.50
|
4.17
|
|
|
Desks
in groups |
3.42
|
3.50
|
4.25
|
|
|
Desks
in U-shape |
2.38
|
0
|
1.91
|
|
|
Desks
in U with rows |
3.62
|
0
|
1.31
|
|
|
Desks
in other configuration |
8.29
|
0
|
2.03
|
|
|
Lessons
with outside interruptions |
2.61
|
0
|
6.75
|
|
|
Number
of organizational segments |
0.23
|
0.55
|
0.52
|
|
|
Number
of classwork segments |
0.12
|
0.25
|
0.25
|
|
|
Number
of seatwork segments |
0.11
|
0.31
|
0.26
|
|
|
Percentage
of time spent in classwork |
1.69
|
2.23
|
2.66
|
|
|
Percentage
of time spent in seatwork |
1.87
|
2.25
|
2.61
|
|
|
Duration
of classwork segments |
0.93
|
0.72
|
1.36
|
|
|
Duration
of seatwork segments |
0.49
|
0.56
|
0.72
|
|
|
Percentage
of seatwork time spent working individually |
3.16
|
4.68
|
4.66
|
|
|
Percentage
of seatwork time spent working in groups |
2.33
|
4.68
|
4.16
|
|
|
Percentage
of seatwork time spent working in mixed individual/group segments
|
2.15
|
0
|
2.28
|
|
|
Percentage
of lessons in which only individual seatwork occurred |
4.65
|
5.40
|
6.24
|
|
|
Percentage
of lessons in which only seatwork in groups occurred |
0.07
|
5.65
|
3.37
|
|
|
Percentage
of lessons in which both individual and group seatwork occurred
|
4.05
|
7.09
|
5.61
|
|
|
Percentage
of lessons in which no seatwork occurred |
2.25
|
0
|
1.58
|
|
|
Number
of activity segments |
0.35
|
0.77
|
0.93
|
|
|
Percentage
of time spent on unrelated activities |
0.08
|
0.13
|
0.40
|
|
|
Percentage
of lessons containing segments of unrelated activities |
2.11
|
4.62
|
6.26
|
|
|
Percentage
of lessons containing segments of working on homework |
1.56
|
0
|
5.12
|
|
|
Percentage
of lessons containing segments sharing homework |
4.35
|
3.19
|
7.00
|
|
|
Percentage
of time spent on teacher talk/demonstration |
0.25
|
1.13
|
1.25
|
|
|
Percentage
of lessons containing time spent on teacher talk/demonstration |
3.75
|
6.55
|
5.60
|
|
|
Percentage
of time spent working on task and/or situations |
2.48
|
1.35
|
2.76
|
|
|
Duration
of time spent on working on task/situation |
0.78
|
0.43
|
0.94
|
|
|
Percentage
of time spent working on task/situation in classwork |
2.74
|
2.62
|
3.56
|
|
|
Percentage
of time spent working on task/situation in seatwork |
1.80
|
2.34
|
2.49
|
|
|
Percentage
of time spent on setting up task and/or situations |
0.44
|
1.02
|
0.63
|
|
|
Percentage
of time spent on sharing task and/or situations |
1.29
|
1.57
|
1.43
|
|
|
Percentage
of topics including development with seatwork |
4.91
|
6.15
|
20.05
|
|
|
Percentage
of topics including development that include actual development
of concepts during a seatwork |
4.80
|
6.44
|
8.36
|
|
|
Percentage
of lessons with chalkboard used |
2.58
|
0
|
5.84
|
|
|
Percentage
of lessons with overhead projector used |
3.04
|
1.95
|
5.53
|
|
|
Percentage
of lessons with worksheets |
4.18
|
7.62
|
4.94
|
|
|
Percentage
of lessons with textbook |
4.68
|
1.83
|
5.18
|
|
|
Percentage
of lessons with computers |
0
|
4.13
|
2.45
|
|
|
Percentage
of lessons with calculator |
2.04
|
0
|
6.94
|
|
|
Percentage
of lessons with manipulatives |
3.30
|
7.14
|
3.74
|
|
|
Percentage
of lessons with math tools |
5.55
|
5.74
|
4.62
|
|
|
Percentage
of lessons with posters |
1.01
|
4.07
|
0.76
|
|
|
Percentage
of lessons with chalkboards used by students |
4.50
|
8.02
|
5.91
|
|
|
Percentage
of lessons with overheads used by students |
9.49
|
0
|
8.76
|
|
|
Percentage
of T/S/PPD remaining on chalkboard |
5.45
|
2.76
|
8.07
|
|
|
Percentage
of T/S/PPD erased from chalkboard |
5.45
|
2.76
|
8.07
|
|
|
Percentage
of manipulatives in each lesson used by teacher only |
9.85
|
15.07
|
11.06
|
|
|
Percentage
of manipulatives used by students only |
8.75
|
4.18
|
14.98
|
|
|
Percentage
of manipulatives used by both teachers and students |
9.71
|
14.97
|
14.05
|
|
|
Percentage
of time in seatwork/working on task/situation segments spent working
on one task/one situation |
4.98
|
5.30
|
6.64
|
|
|
Percentage
of time in seatwork/working on task/situation segments spent working
on multiple task/one situation |
3.55
|
3.26
|
2.49
|
|
|
Percentage
of time in seatwork/working on task/situation segments spent working
on one task/multiple situations |
5.16
|
5.08
|
6.40
|
|
|
Percentage
of time in seatwork/working on task/situation segments spent working
on multiple tasks/multiple situations |
4.18
|
3.94
|
5.99
|
|
|
Percentage
of seatwork spent in practice procedure |
2.53
|
3.59
|
2.11
|
|
|
Percentage
of seatwork spent in application of concepts |
1.67
|
6.43
|
2.05
|
|
|
Percentage
of seatwork spent in inventing new solutions and thinking |
1.76
|
6.47
|
0.70
|
|
|
Percent
of utterances made by the teacher |
1.20
|
1.91
|
1.23
|
|
|
Percent
of words spoken by the teacher |
1.54
|
2.18
|
1.20
|
|
|
Utterances
coded as information |
0.27
|
0.99
|
0.54
|
|
|
Utterances
coded as elicitation |
0.24
|
0.58
|
0.31
|
|
|
Utterances
coded as direction |
0.31
|
0.42
|
0.24
|
|
|
Utterances
coded as uptake |
0.18
|
0.27
|
0.23
|
|
|
Utterances
coded as teacher response |
0.11
|
0.06
|
0.14
|
|
|
Utterances
coded as provide answer |
0.03
|
0.01
|
0.03
|
|
|
Utterances
coded as student response |
0.29
|
0.49
|
0.31
|
|
|
Utterances
coded as student elicitation |
0.13
|
0.08
|
0.14
|
|
|
Utterances
coded as student information |
0.22
|
0.19
|
0.21
|
|
|
Utterances
coded as student direction |
0.03
|
0
|
0.05
|
|
|
Utterances
coded as student uptake |
0.03
|
0.06
|
0.03
|
|
|
Length
of student response measured by number of words |
0.38
|
0.85
|
0.19
|
|
|
Number
of utterances coded as content teacher elicitation |
0.23
|
0.41
|
0.28
|
|
|
Number
of utterances coded as interactional teacher elicitation |
0.10
|
0.21
|
0.15
|
|
|
Number
of utterances coded as metacognitive teacher elicitation |
0.08
|
0.11
|
0.12
|
|
|
Number
of utterances coded as evaluative teacher elicitation |
0.05
|
0.23
|
0.09
|
|
|
Number
of utterances coded as other teacher elicitation |
0.06
|
0.08
|
0.11
|
|
|
Number
of utterances coded as Name/State content elicitation |
0.28
|
0.37
|
0.30
|
|
|
Number
of utterances coded as Yes/No content elicitation |
0.10
|
0.05
|
0.17
|
|
|
Number
of utterances coded as describe/explain content elicitation |
0.13
|
0.28
|
0.03
|
|
|
Number
of codes per minute of classwork |
0.52
|
1.05
|
1.51
|
|
|
Number
of Elicitation-Response sequences per minute of classwork |
0.15
|
0.12
|
0.24
|
|
|
Percentage
of initial elicitations, Name/State Fact |
3.58
|
2.64
|
2.00
|
|
|
Percentage
of initial elicitations, Yes/No Fact |
0.83
|
2.10
|
2.27
|
|
|
Percentage
of initial elicitations, Describe/Explain Fact |
3.64
|
0.79
|
0.88
|
|
|
Percentage
of initial elicitations,Name/State Individual Ideas |
0.52
|
0.77
|
0.07
|
|
|
Percentage
of initial elicitations, Yes/No Individual Ideas |
0
|
0.64
|
0.07
|
|
|
Percentage
of initial elicitations, Describe/Explain Individual Ideas |
0.67
|
1.00
|
1.61
|
|
|
Percentage
of external links |
7.97
|
6.17
|
10.47
|
|
|
Percentage
of internal links |
11.73
|
3.88
|
8.88
|
|
|
Not
at all aware |
2.18
|
4.66
|
0
|
|
|
Not
very aware |
3.78
|
8.37
|
2.29
|
|
|
Somewhat
aware |
3.84
|
12.32
|
6.60
|
|
|
Very
aware |
3.41
|
3.84
|
6.57
|
|
|
Percentage
of teachers who mentioned School-Based Programs |
6.44
|
5.94
|
6.96
|
|
|
Percentage
of teachers who mentioned External Seminars |
5.62
|
0
|
7.19
|
|
|
Percentage
of teachers who mentioned Information from Colleagues |
5.66
|
4.69
|
6.18
|
|
|
Percentage
of teachers who mentioned Publications |
3.20
|
5.10
|
4.13
|
|
|
Percentage
of teachers who mentioned other sources |
3.04
|
4.57
|
1.12
|
|
|
Not
at all in accord |
0
|
4.37
|
3.22
|
|
|
A
little in accord |
7.03
|
4.10
|
5.88
|
|
|
A
fair amount in accord |
7.03
|
3.10
|
7.63
|
|
|
A
lot in accord |
0
|
0
|
5.14
|
