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ืืชื” ื‘ืขืฆืžืš, ืืชื” ื™ื•ื“ืข ื ื”ื“ืจ ืื—ืช, ืฉืชื™ื™ื, ืฉืœื•ืฉ
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ืื ื™ ืขื™ื ืช ื”ื“-ืžืฆื•ื™ื™ื ื™ื ื•ืื ื™ ืžืจืฆื” ื•ื—ื•ืงืจืช ื‘ืคืงื•ืœื˜ื” ืœื—ื™ื ื•ืš ืœืžื“ืข ื•ื˜ื›ื ื•ืœื•ื’ื™ื” ื‘ื˜ื›ื ื™ื•ืŸ
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ืขืœ ื ื•ืฉืื™ื ืจืœื•ื•ื ื˜ื™ื™ื ื›ืžื•ื‘ืŸ ื”ื”ืงืฉื‘ื” ืœื ืžืกืชื›ืžืช ืจืง ื‘ื™ืฉื™ื‘ื” ื‘ืฉืงื˜ ืขื“ ืฉื”ืชืœืžื™ื“ ืฉืžื“ื‘ืจ ื™ืกื™ื™ื ืืช ื“ื‘ืจื™ื•
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ื›ืœ ื”ื›ื‘ื•ื“ ืขืœ ื”ืขื‘ื•ื“ื” ื”ื™ืคื” ืฉืœื›ื! ืื ื™ ื”ืกืชื•ื‘ื‘ืชื™ ื‘ื™ื ื™ื›ื ื•ืจืื™ืชื™ ืจืขื™ื•ื ื•ืช ืฉื•ื ื™ื ื•ื ืคืœืื™ื ืœืคืชืจื•ืŸ
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ื–ื”ื• ืขืงืจื•ืŸ ืงื•ืžื•ื’ื ื˜ื™ื‘ื™ ื—ืฉื•ื‘ ื›ืฉืื ื—ื ื• ืžืกืชื›ืœื™ื ืขืœ ืžื™ืฉื”ื• ืฉืžื‘ืฆืข ืคืขื•ืœื•ืช ืฉื ืจืื•ืช ืœื ื• ืžื•ื–ืจื•ืช
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ื›ืขืœ ืฉื™ื—ื™ื ืฉืžืชื ื”ืœื™ื ืœืคื™ ื›ืœืœื™ื ืฉื•ื ื™ื. ื‘ืขื•ื“ ืฉื‘ืฉื™ื— ื”ืžืชืžื˜ื™ ืฉืœ ืžื™ื›ืœ ื”ื›ืœืœ ื”ื•ื ืฉื”ื ืจืื•ืช ืฉืœ ื”ืฆื•ืจื” ื”ื™ื ื–ืืช ืฉืงื•ื‘ืขืช,
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ืื– ื–ื” ื™ื”ื™ื” ืคืœื•ืก ืฉืœื•ืฉื™ื ื•ื—ืžืฉ ืœืžื”? ื›ื™ ื”ืคืœื•ืก ื™ื•ืชืจ ื’ื“ื•ืœ ืื•ืงื™ื™, ืื– ืืชื ืžื—ื–ืงื™ื ืืช ื”ื’ื™ืฉื” ืฉืœื›ื
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ื‘ืชื—ื™ืœืช ื”ื™ื—ื™ื“ื” ื“ื™ื‘ืจื ื• ืขืœ ืชื”ืœื™ืš ื”ืขื™ืฆื•ื ืขืœ ื”ื”ืฉืชืชืคื•ืช ื”ืจื™ื˜ื•ืืœื™ืช ืฉื›ืจื•ื›ื” ื‘ื•
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ืื– ื‘ื’ืœืœ ื–ื” ื–ื” ื™ื•ืฆื ืื™ืงืก ืžื™ื ื•ืก ืื—ื“ ื ื›ื•ืŸ - ืขื›ืฉื™ื• ื‘ื›ืœ ืžืคื’ืฉ ื™ืฉ ืฉืชื™ ืฆืœืขื•ืช ืฉืฆืจื™ืš ืœื”ื•ืจื™ื“
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ื•ื‘ื”ืกื‘ืจื™ื ืฉื ื™ืชื ื• ืœืชืฉื•ื‘ื•ืช ืืœื• ื‘ืฉืชื™ ื”ื›ื™ืชื•ืช ืœืื•ืชืŸ ืฉืืœื•ืช ืฉื”ื™ื• ื—ืœืง ืžืžื‘ื—ืŸ ืžืกื›ื
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ื•ืื•ืชื• ื”ื“ื‘ืจ ืื– ืื—ืจ ื›ืš ื‘ืฉืชื™ื™ื ืฉืชื™ื™ื ื›ืคื•ืœ ืืจื‘ืข ื–ื” ืฉืžื•ื ื” ื•ืขื•ื“ ืฉืชื™ื™ื ื–ื” ืขืฉืจ ื ื›ื•ืŸ - ืื– ื‘ืขืฆื ืืชื ืื•ืžืจื™ื
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ื ืชื—ื™ืœ ื‘ื›ืš ืฉื ืชื‘ื•ื ืŸ ืฉื•ื‘ ืืš ื‘ืฆื•ืจื” ืžืขืžื™ืงื” ื™ื•ืชืจ ื‘ืจืขื™ื•ืŸ ืฉืœ ืจื•ื˜ื™ื ื”
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ืื– ื›ืžื” ื–ื” ืคืœื•ืก ืฉืชื™ื™ื ื›ืคื•ืœ ืžื™ื ื•ืก ื—ืžืฉ? ืื ื™ ืจื•ืฆื” ืจืง ืชืฉื•ื‘ื•ืช, ืืช ื›ืœ ื”ืชืฉื•ื‘ื•ืช ืฉืœื›ื
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ืื– ื™ืฉ ืœื ื• ืฉืฉ ื›ืคื•ืœ ืื—ื“ ืคื—ื•ืช ืฉืชื™ื™ื ื›ืคื•ืœ ืืคืก
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?ืžื” ืื ื™ ืขื•ืฉื” ื‘ืžืฆื‘ ื›ื–ื” ื›ืฉื™ืฉ ืœื™ ืืช ื–ื” ื•ืขื•ื“ ื–ื” ื›ืื™ืœื•, ื›ืืŸ. ื›ืืŸ ืื ื™ ื›ื•ืชื‘ืช ืืช ื”ื”ื›ื™ ื’ื“ื•ืœ?
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ื”ื™ื™ืชื™ ืฆืจื™ื›ื” ืœื‘ื—ื•ืจ ื‘ืื—ืช ืžื›ืžื” ืืคืฉืจื•ื™ื•ืช ื•ื‘ื—ืจืชื™ ื‘ืฉื™ืชื•ืฃ ื”ืชืœืžื™ื“ื™ื ืขื ื”ื”ืชืคืชื—ื•ืช ื”ื”ื™ืกื˜ื•ืจื™ืช ืฉืœ ื”ืžืกืคืจ ื”ืžืจื•ื›ื‘
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ื‘ื”ืชืืžื”, ืชืฉื•ื‘ื•ืช ื”ืชืœืžื™ื“ ื”ืŸ ื‘ื ื•ืช ืžื™ืœื” ืื• ืฉืชื™ื™ื ืžืจื™ื, ื‘ืฉืืœื•ืชื™ื”, ืคื•ืชื—ืช ืืช ื”ื“ื™ื•ืŸ ื•ืžื—ืคืฉืช ืกื™ื‘ื•ืช
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ืืชื ืจืื™ืชื ื‘ืกื™ืžื•ืœืฆื™ื” ืืช ืขื™ื“ื™ืช ื•ืืžื™ืจ ืขื ื”ืžื•ืจื” ื‘ื›ื™ืชื” ื”ื˜ืงืกื˜ ืœืงื•ื— ืžืจืื™ื•ื ื•ืช ืฉืื ื™ ืขืจื›ืชื™ ืขื ื”ืชืœืžื™ื“ื™ื ื‘ืขื‘ืจ
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ืื ื™ ื’ื ืžืงื•ื•ื” ืฉื”ืžื•ืฉื’ "ืจื•ื˜ื™ื ื”" ืฉื”ื™ื” ื‘ื•ื•ื“ืื™ ืžื•ื›ืจ ืœื›ื ืงื•ื“ื, ืžื•ื‘ืŸ ืœื›ื ื›ืขืช ืงืฆืช ื™ื•ืชืจ ืœืขื•ืžืง
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ืจื’ืข, ืืœ ืชื™ืกืข, ืชื™ื–ื”ืจ, ืชื™ื–ื”ืจ. ืชื™ื–ื”ืจ! ื ืจืื” ืœื™ ืฉื–ื” ื‘ืกื“ืจ, ืกืข, ืกืข ืกืขโ€ฆืขื›ืฉื™ื• ืืชื” ืฆืจื™ืšโ€ฆ ื•ืฉืžืืœื”.
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ื›ืŸ, ื™ื•ื ืชืŸ ืืžืจ ืคื” ืžืฉื”ื• ื—ืฉื•ื‘ ืžื” ืื ื™ ืืžืจืชื™? ืžื” ืืžืจืช ื›ืจื’ืข? ืฉืื ื™ ื”ืฆืœื—ืชื™ ืœื”ืฉืคื™ืข ืคื” ืขืœ ื›ื•ืœื
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ืืคืฉืจ ืœืฉืจื•ื“ ื›ื›ื” ื‘ื›ื™ืชืช ื”ืžืชืžื˜ื™ืงื” ืœื ืžืขื˜ ื–ืžืŸ ื‘ืžืงืจื” ืฉืœ ืขื™ื“ื™ืช ื”ื™ื ื”ืฉืชืชืคื” ืจื™ื˜ื•ืืœื™ืช ื‘ืžืฉืš ืฉืœื•ืฉ ืฉื ื™ื ืœืคื—ื•ืช ืื ืœื ื™ื•ืชืจ ื‘ืฉื™ื— ื”ืžืชืžื˜ื™
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ื‘ืจื–ื ื™ ื—ืžืฉ. ืื”, ืื•-ืงื™ื™. ืชืจืื”, ืืชื” ืžืžืฉื™ืš ืคื” ื™ืฉืจโ€ฆ ืฉื ื™ื™ื”. ืฉื ื™ื™ื” ืจื’ืข, ืžืกื‘ื™ืจื™ื.
1
7,614.98877
he
16,000
from_another_angle-_mathematics_teaching_practices
73
13
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ื“ื™ืžื•ืช ืฉืขื™ื“ื™ืช ื›ืœืœ ืื™ื ื ื” ืฉื•ืชืคื” ืœื• ื‘ืขื•ื“ ืขื™ื“ื™ืช ืงื•ืจืืช ืœื“ื‘ืจ ื”ื–ื”
82
6,158.004395
he
16,000
from_another_angle-_mathematics_teaching_practices
57
11
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ืžื–ื•ื•ื™ืช ืื—ืจืช ื”ื•ืจืื” ืžืขื•ื“ื“ืช ื—ืงืจื™ื” ืขืœ ืคื™ ืžื•ื“ืœ ืฉืง"ื“ - ื ืขื•ื“ื“ ื”ืžื•ืจื”? ื”ืžื•ืจื”?
0
8,147.006836
he
16,000
from_another_angle-_mathematics_teaching_practices
68
13
4e9df0724845648f556927b72cc94cff7b4cd6d8
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ืื– ื–ื” ื›ืžื• ืฉืืช ื™ื›ื•ืœื” ืœื”ื•ืจื™ื“ ืืช ื”ืžื™ื ื•ืก ืœื, ืืช ื”ืžื™ื ื•ืก ืœื ื›ื™ ื–ื” ื›ืื™ืœื• ืืช ืขื•ืฉื” ืฉืชื™ ืคืขืžื™ื ืžื™ื ื•ืก ื—ืžืฉ
7
5,495.986328
he
16,000
from_another_angle-_mathematics_teaching_practices
93
21
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ืœืฉืื•ืœ ืฉืืœื•ืช ืฉื™ืขื•ื“ื“ื• ืืช ื”ืชืœืžื™ื“ื™ื ืœืกืคืจ ืœื ื• ืื™ืš ื”ื ื—ื•ืฉื‘ื™ื ืœืฉืืœื•ืช ื›ืืœื” ืื ื—ื ื• ืงื•ืจืื™ื ืฉืืœื•ืช
66
6,800
he
16,000
from_another_angle-_mathematics_teaching_practices
85
15
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69a58300945fe68f3a39dd109388ad9615e9d747_7
ื™ื•ืคื™
7
1,000
he
16,000
from_another_angle-_mathematics_teaching_practices
4
1
5edf1f9523a4391ed4855f607422f15e1b10f12a
5edf1f9523a4391ed4855f607422f15e1b10f12a_96
ื•ื–ื” ื”ืจื‘ื” ื›ืŸ, ื–ื” ื”ืจื‘ื” - ืื™ืš ืืชื” ื™ื•ื“ืข? ื›ื›ื”
96
8,911.995117
he
16,000
from_another_angle-_mathematics_teaching_practices
40
10
5edf1f9523a4391ed4855f607422f15e1b10f12a
5edf1f9523a4391ed4855f607422f15e1b10f12a_82
ืืฆืœ ืžืขื™ื™ืŸ ื”ื”ืœื™ืš ืฉืœ ื™ื™ืฉื•ืจ ื”ืงื•ื‘ื™ื•ืช ื•ื“ืงืœื•ื ืฉื™ืจ ื”ืžืกืคืจื™ื ืขื“ื™ื™ืŸ ืœื ืžืงื•ืฉืจื™ื ื‘ื™ื ื™ื”ื ื›ื”ืœื™ื›ื™ื ื‘ืจื™ ื”ื—ืœืคื”
82
6,046.009277
he
16,000
from_another_angle-_mathematics_teaching_practices
93
16
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ื ื• ืื– ืœื, ืื™ืŸ ืœื™ ื‘ืขื™ื” ืขื ื–ื” ืคืฉื•ื˜...ืžื™ื ื•ืก ืื• ืคืœื•ืก? ื ื•, ืžื” ื–ื” ืคื”?
14
5,931.995605
he
16,000
from_another_angle-_mathematics_teaching_practices
63
15
5edf1f9523a4391ed4855f607422f15e1b10f12a
5edf1f9523a4391ed4855f607422f15e1b10f12a_49
ื”ื•ื ืžื™ื™ืฉืจ ืืช ื”ืงื•ื‘ื™ื•ืช ื‘ืฉื•ืจื”, ืžืฆื‘ื™ืข ืขืœ ื›ืœ ืื—ืช ืžื”ืงื•ื‘ื™ื•ืช ื‘ืกื“ืจ ืงื‘ื•ืข ื•ืžื“ืงืœื ืืช ืฉื™ืจ ื”ืžืกืคืจื™ื ื‘ื™ื—ื“ ืขื ื”ื”ืฆื‘ืขื”
49
7,645.01123
he
16,000
from_another_angle-_mathematics_teaching_practices
99
19
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ืื ื—ื ื• ืžืฆื™ืขื•ืช ื›ืืŸ ื”ืกืชื›ืœื•ืช ืฉื•ื ื” ืžืขื˜ ื”ืชื™ืื•ืจื” ื”ืงื•ืžื•ื’ื ื˜ื™ื‘ื™ืช ืžืชื™ื™ื—ืกืช ืœืคืขื•ืœื•ืช ืฉื”ื™ืœื“ ื›ืŸ ืžื‘ืฆืข
60
5,792.993164
he
16,000
from_another_angle-_mathematics_teaching_practices
84
13
5edf1f9523a4391ed4855f607422f15e1b10f12a
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ืœื. ืื—ืช, ืฉืชื™ื™ื, ืฉืœื•ืฉ, ืืจื‘ืข... ืื—ืช, ืฉืชื™ื™ื, ืฉืœื•ืฉ, ืืจื‘ืข, ื—ืžืฉ, ืฉืฉ
100
9,350
he
16,000
from_another_angle-_mathematics_teaching_practices
61
11
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ื›ืื™ืœื• ื”ื™ื™ืชื” ืงื•ืคืกื” ื’ื“ื•ืœื” ื”ืžื›ื™ืœื” ืงื•ืคืกืื•ืช ืงื˜ื ื•ืช ื‘ืฆื•ืจื” ื“ื•ื ื”, ื›ืœ ืจื•ื˜ื™ื ื” ื™ื›ื•ืœื” ืœื”ืคื•ืš ืœื—ืœืง ืžืจื•ื˜ื™ื ื•ืช ืื—ืจื•ืช
23
10,304.988281
he
16,000
from_another_angle-_mathematics_teaching_practices
98
16
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dfea76b4d5dd3f33d44e4a7eb07a3c5c8e4ecddb_89
ืœื™ื™ืฆื’ ื–ื” ื›ื™ืฃ ื–ื” ื‘ืขื–ืจืช ืขื™ืฆื•ื‘ ื•ื™ื–ื•ืืœื™ ื‘ืืžืฆืขื•ืช ื‘ื™ื˜ื•ื™ื™ื ืืœื’ื‘ืจื™ื™ื ื‘ืืžืฆืขื•ืช ื’ืจืฃ ืื• ื™ื™ืฆื•ื’ ืžืกืคืจื™ื ืžื‘ื—ื™ื ืช
89
7,400
he
16,000
from_another_angle-_mathematics_teaching_practices
95
16
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โ€Žืื– ืืช ืื•ืžืจืช ืฉโ€Ž...โ€Ž โ€Žื–ื” ืœื ื“ืœืชื•ืŸโ€Ž.โ€Ž โ€Žื ื›ื•ืŸโ€Ž.โ€Ž-โ€Ž โ€Žื–ื” ื‘ื›ืœืœ ืœื ื ืจืื” ื›ืžื• ื“ืœืชื•ืŸโ€Ž.โ€Ž โ€Žโ€Žืžืงื•ื“ื ืขื‘ืจืชื™ ืœื™ื“ ืจื•ืขื™โ€Ž ,โ€Žืืช ื™ื•ื“ืขืชโ€Ž,
9
7,000
he
16,000
from_another_angle-_mathematics_teaching_practices
113
20
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bb72cc04d7d4d1a4313a358a98e265db96bcdec4_17
:ืœืžืฉืœ, ืคืชืจื• ืืช ื”ืžืฉื•ื•ืื” 2x + 7 = 13 ืžืฉื™ืžื•ืช ืฉืœ ื”ืžืฉื’ื” ืื• ืืžื™ืจืช ืžื•ืฉื’ื™ื
17
7,795.986328
he
16,000
from_another_angle-_mathematics_teaching_practices
66
15
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ืœื ื”ืฉืคื™ืขื” ื™ื•ืชืจ ืžื“ื™ ืขืœ ื”ื–ื”ื•ืช ื”ืžืชืžื˜ื™ืช ื”ื›ืœืœื™ืช ืฉืœื” ื›ืœื•ืžืจ, ืขืœ ื”ืกื™ืคื•ืจื™ื ืฉื”ื™ื ืžืกืคืจืช ืขืœ ืขืฆืžื” ื›ืœื•ืžื“ืช ืžืชืžื˜ื™ืงื”
20
7,136.983887
he
16,000
from_another_angle-_mathematics_teaching_practices
99
18
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,ื–ื”ื• ืชื”ืœื™ืš ืžื—ื–ื•ืจื™ ืฉื‘ื• ื”ืžื•ืจื” ืžืชื—ื™ืœื” ืžืฉืคื˜ ื”ืชืœืžื™ื“ื™ื ืžืฉืœื™ืžื™ื ืื•ืชื•
31
6,286.983887
he
16,000
from_another_angle-_mathematics_teaching_practices
61
10
8956520ded4487e97da91888abd05eb441b1de0d
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ืฉื‘ื™ืŸ 18/3, ื”ืชื•ืฆืื” ืฉืœ ื”ื”ืœื™ืš ื”ืงื•ื“ื ืฉื”ื™ื ื‘ื™ืฆืขื” ืœื‘ื™ืŸ ื”-6, ื”ืชื•ืฆืื” ืฉืœ ื”ื”ืœื™ืš ื”ืฉื ื™
79
7,867.006836
he
16,000
from_another_angle-_mathematics_teaching_practices
74
14
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ืžื™ ืจื•ืฆื” ืœื ืกื•ืช? ื›ืŸ? ื˜ื•ื‘ ืื–, ืฉืฉ ืื™ืงืก
51
10,507.981445
he
16,000
from_another_angle-_mathematics_teaching_practices
34
8
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ื›ื“ื™ ืฉื‘ืžื”ืœืš ื”ืฉื™ืขื•ืจ ื”ืขื‘ื•ื“ื” ืขืœ ื”ืžืฉื™ืžื” ืœื ืชืชื›ื ืก ืœื›ื“ื™ ื”ืคืขืœื” ืฉืœ ืคืจื•ืฆื“ื•ืจื•ืช
45
5,000
he
16,000
from_another_angle-_mathematics_teaching_practices
67
12
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ืื ื›ืš, ื™ืขื™ืœื•ืชื” ืฉืœ ืœืžื™ื“ืช ืจื•ื˜ื™ื ื•ืช ืจืง ื‘ื“ื™ื‘ื•ืจ
95
5,161.020508
he
16,000
from_another_angle-_mathematics_teaching_practices
41
8
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ื”ืžืชื—ื™ื™ื‘ื™ื ืžืจืคื•ืจืžื•ืช ืืœื” ืื• ืื—ืจื•ืช ื‘ืชื•ื›ื ื™ืช ื”ืœื™ืžื•ื“ื™ื
11
5,842.993164
he
16,000
from_another_angle-_mathematics_teaching_practices
48
7
bb72cc04d7d4d1a4313a358a98e265db96bcdec4
bb72cc04d7d4d1a4313a358a98e265db96bcdec4_71
ืžืฉื™ืžื•ืช ืืœื”, ืžื“ื’ื™ืฉื•ืช ืฉื™ืžื•ืฉ ื‘ืคืจื•ืฆื“ื•ืจื•ืช ื‘ืžื˜ืจื” ืœืคืชื— ื”ื‘ื ื” ืžืขืžื™ืงื” ื™ื•ืชืจ ืฉืœ ืžื•ืฉื’ื™ื ื•ืจืขื™ื•ื ื•ืช ืžืชืžื˜ื™ื™ื
71
7,760
he
16,000
from_another_angle-_mathematics_teaching_practices
91
14
193654f021e7d91c44d79066350ca855588401f3
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ื›ืœ ืžื” ืฉื ื•ืชืจ ื”ื•ื ืœืฉื ืŸ ืคืจื•ืฆื“ื•ืจื•ืช ืฉืจืื™ื ื• ืืช ื”ืžื•ืจื” ืขื•ืฉื” ื”ืกื™ืคื•ืจ ืฉืœ ืขื™ื“ื™ืช ืžืจืื” ืœื ื• ืฉืขื ื”ืจื‘ื” ื—ืจื™ืฆื•ืช
46
7,762.993164
he
16,000
from_another_angle-_mathematics_teaching_practices
92
18
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ื ืจืื” ืื•ืชื ืฉื•ืืœื™ื ื–ื” ืืช ื–ื” ืฉืืœื•ืช ื‘ื›ื™ืชื” ื”ืชืคืชื— ืืงืœื™ื ืฉืœ ืืžื•ืŸ, ื›ื‘ื•ื“ ื•ืœืงื™ื—ืช ืกื™ื›ื•ื ื™ื
24
7,450.997559
he
16,000
from_another_angle-_mathematics_teaching_practices
78
15
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ืžืจื™ื ื”ื“ื’ื™ืฉื” ืžืชืŸ ื”ืกื‘ืจื™ื, ื•ื”ื“ื‘ืจ ืžืฉืชืงืฃ ืืฆืœ ื”ืชืœืžื™ื“ื™ื ื”ืชื‘ื•ื ื ื•ืช ื‘ืงื˜ื’ื•ืจื™ื–ืฆื™ื” ืฉืœ ื”ื”ืกื‘ืจื™ื ืžื—ื–ืงืช ืืช ื”ืงืฉืจ ืขืœื™ื• ื“ื™ื‘ืจืชื™
28
9,628.004883
he
16,000
from_another_angle-_mathematics_teaching_practices
106
17
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ืื• ืœืžื ื•ืช ื›ืœ ืื—ืช ืžื”ื›ืžื•ื™ื•ืช ื•ืœื‘ื—ื•ืจ ื‘ื›ืžื•ืช ืฉื‘ื” ื”ืžืกืคืจ ื’ื“ื•ืœ ื™ื•ืชืจ ื‘ืžืงืจื” ืฉืœ ื”ืฉื•ื•ืื” ื›ืžื•ืชื™ืช, ื›ืœ ืื—ื“ ืžื”ื”ืœื™ื›ื™ื ื”ื•ื ื“ื•-ืฉืœื‘ื™
15
10,145.986328
he
16,000
from_another_angle-_mathematics_teaching_practices
109
20
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ืคืขื•ืœื•ืชื™ื” ืฉืœ ืื‘ื™ื˜ืœ ืฉืจืื™ื ื• ื‘ืกืจื˜ื•ืŸ ืžืืฉืฉื•ืช ืืช ื”ื”ืฉืขืจื”
85
5,170
he
16,000
from_another_angle-_mathematics_teaching_practices
48
8
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ื›ืฉื”ื ื ื“ืจืฉื™ื ืœื”ืฉืชืžืฉ ื‘ืžื™ืœื” ื‘ืื•ืคืŸ ืฉื•ื ื” ืžื–ื” ืฉื”ื ืจื’ื™ืœื™ื ืœื•. ืื– ืจืื™ื ื• ืžื” ื–ื” ืžืขื‘ืจ ืงืจื™ื˜ื™,
35
6,640
he
16,000
from_another_angle-_mathematics_teaching_practices
81
16
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ืื ื™ ืžื‘ืงืฉืช ืœื”ืฆื™ืฃ ืขืงืจื•ื ื•ืช ืžืชืžื˜ื™ื™ื ืฉื”ื ื—ื™ื•ื ื™ื™ื ืœื”ื‘ื ืช ื”ืกื™ืคื•ืจ ื”ื”ื™ืกื˜ื•ืจื™ ืฉื™ื•ืคื™ืข ื‘ื”ืžืฉืš
14
5,373.016113
he
16,000
from_another_angle-_mathematics_teaching_practices
78
12
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ื“ื‘ืจื™ื ื“ื•ืžื™ื ืืคืฉืจ ืœื•ืžืจ ืขืœ ื”ืฆืขื“ื™ื ื”ืขื“ื™ื ื™ื ื™ื•ืชืจ ืฉืœ ื”ื”ืœื™ืš
28
5,567.981934
he
16,000
from_another_angle-_mathematics_teaching_practices
53
10
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ื•ืขื›ืฉื™ื• ื›ืืŸ ืืชื” ื‘ืขืฆืžืš, ืืชื” ื™ื•ื“ืข ื ื”ื“ืจ
41
6,013.016113
he
16,000
from_another_angle-_mathematics_teaching_practices
35
7
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ืฉื ื™ืช, ื”ื™ืขื“ืจ ืงื™ืฉื•ืจื™ื•ืช :ื”ื”ืœื™ืš ืœื ืžืงื•ืฉืจ ืขื ื”ื”ืœื™ื›ื™ื ืื—ืจื™ื, ืœืžืฉืœ
81
5,412.993164
he
16,000
from_another_angle-_mathematics_teaching_practices
59
10
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ื ื›ื•ืŸ, ืื ื—ื ื• ื›ื‘ืจ ืคืชืจื ื• ืืช ื–ื”! ื•ื’ื ื”ืคืชืจื•ืŸ ืฉืœื”ื ื”ื•ื ืœื ืขื“ ื”ืกื•ืฃ ืื– ืจืง ื™ื‘ืœื‘ืœ ืคื” ืืช ื›ื•ืœื ื›ืŸ, ื”ื ื’ื ื›ื›ื” ืœื ื”ืฆืœื™ื—ื•
19
5,156.009277
he
16,000
from_another_angle-_mathematics_teaching_practices
106
25
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ื”ืœื•ืžื“ ื ื™ืฆื‘ ืžื•ืœ ืืชื’ืจ ื–ื”ื• ื”ืืชื’ืจ ืฉืื™ืชื• ืคืชื—ื ื•: ืื™ืš ืœืฉื•ื—ื— ืขืœ ืขืฆืžื™ื ืฉื˜ืจื ืขื™ืฆืžื ื•?
54
7,114.98877
he
16,000
from_another_angle-_mathematics_teaching_practices
74
14
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ืฉื™ืชืžืžืฉ ืื ืจืง ื ืชื’ื‘ืจ ืขืœ ื”ืžืžื•ืฆื‘ื•ืช
104
6,053.016113
he
16,000
from_another_angle-_mathematics_teaching_practices
30
6
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ืžื–ื•ื™ืช ืื—ืจืช ืงืฉื™ื™ ืœืžื™ื“ื” ื•ืžืขื’ืœ ื”ืงืกืžื™ื ื”ืจื™ื˜ื•ืืœื™ ืฉืœื•ื ืœื›ื
0
6,920.997559
he
16,000
from_another_angle-_mathematics_teaching_practices
52
9
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ื”ื ื”ืชื™ื™ื—ืกื• ื‘ืขื™ืงืจ ืœืžืฉื™ืžื•ืช ืžื”ืกื•ื’ ืฉืœ ื™ืฆื™ืจืช ืงืฉืจื™ื ื›ืžื• ืฉืจื•ืื™ื ื‘ื“ื™ืื’ืจืžื”, ืื—ื•ื– ื”ืžืฉื™ืžื•ืช ื”ืืœื” ื‘ืืจื”"ื‘ ื”ื™ื” ื“ื•ืžื”
21
8,093.990723
he
16,000
from_another_angle-_mathematics_teaching_practices
100
17
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:ืื– ืชื ื• ืœื™ ืœื”ืกื‘ื™ืจ ืจืื™ื ื• ื›ืืŸ ืคืขื•ืœื•ืช ืื•ืคื™ื™ื ื™ื•ืช ื”ื ืฆืคื•ืช ืœืขื™ืชื™ื ืงืจื•ื‘ื•ืช ื›ืฉืžื•ืจื™ื ืžื ืกื™ื ืœื•ื•ื“ื
28
7,655.986328
he
16,000
from_another_angle-_mathematics_teaching_practices
85
14
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ืืช ื”ืงืฉืจื™ื ืฉืœ ื”ืชืœืžื™ื“ื™ื ื•ื”ืžื•ืจื” ื™ื›ื•ืœื™ื ืœื™ืฆื•ืจ ื‘ืขื–ืจืชื” ื‘ืžืงืจื” ืฉืœ ืžืฉื™ืžืช ื”ืžืฉื•ืฉื™ื ืขืฆืžื”
87
6,900
he
16,000
from_another_angle-_mathematics_teaching_practices
76
13
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ื”ื ืืœื” ืฉืžื ืกื—ื™ื ืืช ื”ื ืจื˜ื™ื‘ื™ื ื”ืžืชืžื˜ื™ื™ื ื‘ื”ืชืื ืœื›ืœืœื™ื ืฉื”ื ืžื›ื™ืจื™ื ื›ืžื•ื‘ืŸ, ื›ืชื’ื•ื‘ื” ืœืฉืืœื•ืช ืฉืื ื™ ืฉื•ืืœืช
26
7,202.018066
he
16,000
from_another_angle-_mathematics_teaching_practices
91
15
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"?ื”ืฆื™ื’ื™ ืืช ื”ื˜ืขื ื”, ื•ืฉืืœื™: "ืœืžื” ื–ื” ื›ืš
91
5,670
he
16,000
from_another_angle-_mathematics_teaching_practices
35
7
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ื™ืฉ ืกื™ืžื ื™ื ืฉืืคืฉืจ ืœื–ื”ื•ืช ื“ื™ ื‘ืงืœื•ืช ื ืจืื” ืชืœืžื™ื“ื™ื ืฉืžืงืฉื™ื‘ื™ื ื–ื” ืœื–ื” ืฉืžืชื™ื™ื—ืกื™ื ืœืจืขื™ื•ื ื•ืช ืฉืœ ืื—ืจื™ื ืžื‘ืœื™ ืฉื”ืžื•ืจื” ื‘ื”ื›ืจื— ืžืชื•ื•ื›ืช ื‘ื™ื ื™ื”ื
23
9,342.993164
he
16,000
from_another_angle-_mathematics_teaching_practices
119
20
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ื›ื•ืœืœืช ืœืžืขืฉื” ืฉื ื™ ืจื›ื™ื‘ื™ื ืžื˜ืœื” ื•ื”ืœื™ืš ื›ื“ื™ ืœื‘ืฆืข ืจื•ื˜ื™ื ื” ืžืกื•ื™ืžืช ืฆืจื™ืš ืœื ืกื— ืืช ื”ืžื˜ืœื” ื”ืจืœื•ื•ื ื˜ื™ืช
18
9,585.011719
he
16,000
from_another_angle-_mathematics_teaching_practices
85
15
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ืขืœ ื”ืžืฉื™ืžื” ืœืฉื ื›ืš ืขืœื™ื ื• ืœืคืชื•ืจ ืืช ื”ืžืฉื™ืžื” ื•ื›ืžื” ืฉื™ื•ืชืจ ื“ืจื›ื™ื ื•ืœื–ื”ื•ืช ื“ืจื›ื™ื
55
6,800
he
16,000
from_another_angle-_mathematics_teaching_practices
68
13
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,ื ืชืงืœืช ื‘ืจื—ื•ื‘ ื‘ืžื›ืจ, ืืช ื–ื•ื›ืจืช ืฉื‘ืžืฆื‘ื™ื ื›ืืœื” ืจื‘ื™ื ืžื”ื ืจืื™ืช ื‘ืขื‘ืจ
55
7,964.98877
he
16,000
from_another_angle-_mathematics_teaching_practices
59
11
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ืžื™ ืฉื’ื“ื•ืœ ื”ื•ื ืฉืงื•ื‘ืข ืื ื–ื” ืžื™ื ื•ืก ืฉืชื™ื™ื ื›ืคื•ืœ ืคืœื•ืก ืฉืฉ ื–ื” ื™ื•ืฆื ืœืš ืžื™ื ื•ืก ืฉืชื™ื ืขืฉืจื”
20
5,054.013672
he
16,000
from_another_angle-_mathematics_teaching_practices
76
17
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ืžื” ื”ื›ื•ื•ื ื” ื‘ืื•ืคืŸ ืจื™ื˜ื•ืืœื™? ื‘ืื•ืคืŸ ืฉืžื—ืงื” ืืช ืคืขื•ืœื•ืช ื”ืžื‘ื•ื’ืจ ืื• ื”ืžื•ืžื—ื”
59
5,200.997559
he
16,000
from_another_angle-_mathematics_teaching_practices
63
11
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ื›ืžื” ืคืชืจื•ื ื•ืช ื™ื›ื•ืœื™ื ืœื”ื™ื•ืช ืœืžืฉื•ื•ืื” ืจื™ื‘ื•ืขื™ืช" ื•ื‘ืžื” ื–ื” ืชืœื•ื™"? ื•ื›ืžืŸ ื›ืŸ, ื›ืžื” ื ืงื•ื“ื•ืช ื—ื™ืชื•ืš ืขื ืฆื™ืจ X
16
7,019.002441
he
16,000
from_another_angle-_mathematics_teaching_practices
91
17
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ืื—ืจ ื—ื™ืคื•ืฉ ื‘ืžืขื’ืœ ื”ืชืงื“ื™ืžื™ื ืฉืœื” ื•ืœืื—ืจ ืžืฆื™ืืช ืจื•ื˜ื™ื ื” ืžืชืื™ืžื”, ื”ืคืขื™ืœื” ืื•ืชื” ื‘ื”ืชืื ืœื ืกื™ื‘ื•ืช
6
9,798.004883
he
16,000
from_another_angle-_mathematics_teaching_practices
81
13
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ืื‘ืœ ื‘ื›ื™ืชื” ืฉืœ ื“ืœื™ื” ื›ืฉืœื™ืฉ ืžื”ืชืœืžื™ื“ื™ื ืœื ืกื™ืคืงื• ื›ืœ ื”ืกื‘ืจ ืืคืฉืจ ืœืงืฉืจ ืืช ื”ืžืžืฆืื™ื ื”ืืœื” ืœื“ืจื›ื™ ื”ื”ื•ืจืื” ื”ืฉื•ื ื•ืช
27
8,215.011719
he
16,000
from_another_angle-_mathematics_teaching_practices
96
18
0b7fb1568f6998b311c3530a9e31d351e343598a
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ื‘ืžื›ื•ืŸ ื•ื™ืฆืžืŸ ืœืžื“ืข ื›ื—ืœืง ืžืคืจื•ื™ืงื˜ ืžื—ืงืจ ื•ืคื™ืชื•ื— 'ืฉืœ ื™ื—ื™ื“ืช ืœื™ืžื•ื“ ื‘ื ื•ืฉื ื”ืกืชื‘ืจื•ืช ืœื›ื™ืชื” ื—
2
7,050
he
16,000
from_another_angle-_mathematics_teaching_practices
79
14
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ืœื˜ื•ื‘ืช ื”ื›ื™ืชื” ืฉืœ ืžืจื™ื ื™ื›ื•ืœื•ืช ืœื”ื™ื•ืช ืœื›ืš ืžื’ื•ื•ืŸ ืกื™ื‘ื•ืช ื›ื™ืชื” ื—ืœืฉื”, ืชื•ื›ื ื™ืช ืœื™ืžื•ื“ื™ื ืฉื•ื ื”, ืžืงืจื™ื•ืช ืื• ืฉื™ืœื•ื‘ ืฉืœ ื’ื•ืจืžื™ื ืืœื• ื•ืื—ืจื™ื
22
9,503.991211
he
16,000
from_another_angle-_mathematics_teaching_practices
117
21
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โ€Žโ€Žื ืฆืคื” ื›ืขืช ืฉื•ื‘ ื‘ืกืจื˜ื•ืŸโ€Ž, โ€Žืจืง ืฉื”ืคืขื ื ื ืชื— ืœืคื™ ืจื›ื™ื‘ื™ ื”ืคืจืงื˜ื™ืงื”โ€Ž โ€Žืฉืœ ืžืขื‘ืจื™ื ืงืจื™ื˜ื™ื™ืโ€Ž.โ€Ž โ€Žื”ืฉืœื‘ ืฉืœ ื”ืฉื™ื— ื”ืžื•ื›ืจโ€Ž ,โ€Žื‘ืฉืœื‘ ื”ืจืืฉื•ืŸโ€Ž,โ€Ž
0
8,600
he
16,000
from_another_angle-_mathematics_teaching_practices
118
19
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ืื—ืจื™ื ื‘ื ื›ื•ื ื•ืช ื”ืคืชืจื•ืŸ ืฉืœื”ื ืฉื™ืฉืชื›ื ืขื• ืžืื—ืจื™ื ืฉื”ื˜ื™ืœื• ืกืคืง ื•ื™ืฉืืœื• ืฉื™ืกื‘ื™ืจื•
9
6,400
he
16,000
from_another_angle-_mathematics_teaching_practices
67
10
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ืื‘ืœ ืœืื•ืจ ื”ืืชื’ืจ ืฉืœ ืžืžื•ืฆื‘ื•ืช ื”ืœืžื™ื“ื” ื”ื™ืขื™ืœื•ืช ืฉืœ ืชื™ืื•ืจื™ื ืžื™ืœื•ืœื™ื™ื ืขืœื•ืœื” ืœื”ื™ื•ืช ืžื•ื’ื‘ืœืช
89
8,307.981445
he
16,000
from_another_angle-_mathematics_teaching_practices
79
13
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ืžืืคืฉืจืช ืœื”ื ืœืคืชื— ื–ื”ื•ืช ื—ื™ื•ื‘ื™ืช ื›ืœื•ืžื“ื™ ืžืชืžื˜ื™ืงื” ืฉื™ื— ืžื—ื•ื™ื‘ ืœื ืงื•ืจื” ื‘ื›ื™ืชื” ืžืขืฆืžื•
86
6,214.013672
he
16,000
from_another_angle-_mathematics_teaching_practices
72
13
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ืฉืžื•ื ื” ืขืฉืจื” ื–ื•ื›ืจื™ื ืฉืฉืืœื ื• ืื•ืชื›ื ื‘ืชื—ื™ืœืช ื”ื™ื—ื™ื“ื” ?ืžื”ื™ ืœื“ืขืชื›ื ื”ืžื˜ืœื” ืฉืื ื™ ื‘ื™ืงืฉืชื™ ืžืžืขื™ื™ืŸ ืœื‘ืฆืข
45
8,115.01123
he
16,000
from_another_angle-_mathematics_teaching_practices
86
14
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ืฉื›ืŸ ื˜ืขื ื” ื›ื–ืืช ืœื ื™ื›ื•ืœื” ืœื”ื™ื•ืช ืžื‘ื•ืกืกืช ืขืœ ื‘ื™ืฆื•ืข ื‘ื•ื“ื“ ืื ืื ื™ ื‘ื›ืœ ื–ืืช ืžืชืขืงืฉืช ืฉื”ื‘ื™ืฆื•ืข ืฉืœ ืื‘ื™ื˜ืœ ื”ื–ื›ื™ืจ ืจื•ื˜ื™ื ื”
95
10,705.986328
he
16,000
from_another_angle-_mathematics_teaching_practices
101
20
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ื”ื•ื ื™ื•ื›ืœ ืœื”ืžืฉื™ืš ื•ืœื”ืขืฉื™ืจ ืืช ืขืฆืžื• ื‘ื›ืœ ืชื—ื•ื ื•ื‘ื›ืœ ืฉืœื‘ ื‘ื—ื™ื™ื IL ื•ืืœื• ืจืง ื›ืžื” ื“ื•ื’ืžืื•ืช ืžื”ืžื•ื ื™ ื”ืœื•ืžื“ื™ื ื‘ืงืžืคื•ืก
10
8,800
he
16,000
from_another_angle-_mathematics_teaching_practices
100
19
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ื›ืŸ, ืืชื” ื˜ื•ืขื” ืืชื” ื˜ื•ืขื” ื›ืŸ ืื•ืงื™ื™, ืื•ืงื™ื™, ื™ื›ื•ืœ ืœื”ื™ื•ืช
8
5,478.004395
he
16,000
from_another_angle-_mathematics_teaching_practices
49
10
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:ื ืชื™ื™ื—ืก ืœืฉื ื™ ืกื•ื’ื™ื ืฉืœ ืจื•ื˜ื™ื ื•ืช ืฉื™ื— ื—ืงื™ืจื” ื•ืจื™ื˜ื•ืืœ ื‘ื”ืงืฉืจ ืฉืœ ืœืžื™ื“ื”, ื‘ื™ืฆื•ืข ืฉืœ ืจื•ื˜ื™ื ืช ื—ืงื™ืจื” ืžืชืืคื™ื™ืŸ ื‘ืœืงื™ื—ืช ืื—ืจื™ื•ืช ืขืœ ื”ื‘ื™ืฆื•ืข
56
10,746.984375
he
16,000
from_another_angle-_mathematics_teaching_practices
117
20
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ืืœื ืขืœ ืจื•ื˜ื™ื ื•ืช ืฉืœ ื”ื•ืจืื” ื”ื™ื“ื•ืขื•ืช ืœื›ื ืื•ืœื™ ื‘ืฉืžืŸ ื”ืื—ืจ: ืคืจืงื˜ื™ืงื•ืช
5
6,349.002441
he
16,000
from_another_angle-_mathematics_teaching_practices
60
11
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ืื‘ื™ื˜ืœ ื”ืžืฉื™ื›ื” ื•ืฉืืœื”: "ืืžืจื ื• ืฉืื™ืŸ ืคืชืจื•ืŸ "ืื ื™ืฉ ืžืกืคืจ ืฉืœื™ืœื™ ืžืชื—ืช ืœืฉื•ืจืฉ
19
7,180.997559
he
16,000
from_another_angle-_mathematics_teaching_practices
66
12
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ืืš ื”ื•ื ื™ื›ื•ืœ ื’ื ืœื”ื™ื•ืช ืจื•ืคืฃ ื™ื•ืชืจ ืžืขื™ืŸ ื”ืฆืขื” ื›ืœืœื™ืช ื”ืžืคืจื˜ืช ืชืช-ืžื˜ืœื•ืช ืฉื™ืฉ ืœื‘ืฆืข ื›ื“ื™ ืœื”ืฉืœื™ื ืืช ื”ืžื˜ืœื” ื”ืจืืฉื™ืช
76
11,694.988281
he
16,000
from_another_angle-_mathematics_teaching_practices
98
19
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ืคื” ื•ืคื” ืœื, ืื™ืคื” ื™ืฉ ื™ื•ืชืจ ื‘ืžื‘ื”? ืคื” ื™ืฉ ื”ืจื‘ื” ื ื›ื•ืŸ -
1
5,521.995605
he
16,000
from_another_angle-_mathematics_teaching_practices
47
12
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ื‘ื”ื–ื“ืžื ื•ื™ื•ืช ืฉืœื”ื ืœืคืขื•ืœ ื‘ืื•ืคืŸ ื—ืงืจืชื™ ืขืœ ื”ืžืฉื™ืžื” ื ื—ื–ื•ืจ ืจื’ืข ืœื”ืจืฆืื” ื”ืงื•ื“ืžืช ืฉืžืจื™ื ื•
46
6,600
he
16,000
from_another_angle-_mathematics_teaching_practices
74
12
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ื”ื›ื•ื•ื ื” ืœื›ืš ืฉืื ืฉื™ื ื ื•ื˜ื™ื ืœื”ื™ื–ื›ืจ ื‘ืจื•ื˜ื™ื ื•ืช ืจืง ื‘ืžืฆื‘ื™ื ื“ื•ืžื™ื ืžืื•ื“ ืœืืœื” ืฉื‘ื”ื ื”ืŸ ื ืœืžื“ื• ืœืจืืฉื•ื ื”
74
10,808.979492
he
16,000
from_another_angle-_mathematics_teaching_practices
87
15
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ื”ืžืขื•ื“ื“ื•ืช ืืช ื”ืชืœืžื™ื“ื™ื ืœืคืขื•ืœ ื‘ืฆื•ืจื” ื—ืงื™ืจืชื™ืช ื”ืกื•ื’ ื”ืื—ื“ ื”ื•ื ืžืฉื™ืžื•ืช ืฉื“ื•ืจืฉื•ืช ืฉื™ืžื•ืฉ ื‘ืคืจื•ืฆื“ื•ืจื•ืช ืขื ืงืฉืจื™ื
70
8,087.006836
he
16,000
from_another_angle-_mathematics_teaching_practices
95
15
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ื›ื“ื™ ืœื”ืžืฉื™ืš ืœืคืชื— ื”ื‘ื ื” ืกื‘ื™ื‘ ื”ืจืขื™ื•ื ื•ืช ื”ืืœื” ื”ื ื” ื“ื•ื’ืžื” ืœืžืฉื™ืžื” ืžื”ืกื•ื’ ื”ื–ื”
75
7,223.990723
he
16,000
from_another_angle-_mathematics_teaching_practices
66
12
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ื•ื‘ืกืš ื”ื›ื•ืœ, ืฆื•ืœืžื• ืžืขืœ ืฉืฉ ืžืื•ืช ืฉื™ืขื•ืจื™ ืžืชืžื˜ื™ืงื” ื‘ืื•ืชื” ื”ืฉื ื” ื•ืžืกืคืจ ื“ื•ืžื” ืฉืœ ืฉื™ืขื•ืจื™ ืžื“ืขื™ื, ืื‘ืœ ื–ื” ืœื ื”ื ื•ืฉื ืฉืœื ื•
9
8,614.988281
he
16,000
from_another_angle-_mathematics_teaching_practices
103
20
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ืื ื™ ืœื ื‘ื˜ื•ื— ืœืžื” ืฉืœื•ืฉื” ืจื‘ืขื™ื? ืฉื™ืจื”, ืœืžื” ื”ื—ืœื˜ืช ืฉืฉืœื•ืฉื” ืจื‘ืขื™ื ื™ื•ืชืจ ื’ื“ื•ืœ?
66
5,984.013672
he
16,000
from_another_angle-_mathematics_teaching_practices
68
13
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ื•ืœืฉืชืฃ ืืช ืžื” ืฉืขื•ืžื“ ื‘ื‘ืกื™ืก ื”ื”ื—ืœื˜ื•ืช ืฉืœื ื• ื•ืœื›ืŸ ืื‘ื™ื˜ืœ ื–ื” ื”ื™ื” ื›ืœื›ืš ื—ืฉื•ื‘ ืฉื‘ืืช ื”ื™ื•ื ื•ื—ืฉืคืช ืืช ืฉื™ืงื•ืœื™ ื”ื“ืขืช ืฉืœืš
54
7,761.995605
he
16,000
from_another_angle-_mathematics_teaching_practices
99
20
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ืฉืžื•ืจื™ื ืžืฉื ื™ื ืืช ืื•ืคื™ ื”ืขื‘ื•ื“ื” ืฉืœ ืชืœืžื™ื“ื™ื ืขืœ ื”ืžืฉื™ืžื” ื’ื ื›ืฉื”ื ืžืจื’ื™ืฉื™ื ืื•ืชื” ืœื”ื ื•ื’ื
47
6,400
he
16,000
from_another_angle-_mathematics_teaching_practices
77
15
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:ื”ืฉืืœื” ื”ื ืฉืืœืช ื›ืืŸ ื”ื™ื ?ืžื ื™ืŸ ื”ื ื˜ื™ื™ื” ื”ื–ืืช ืœืžื”ืœื›ื™ื ืžื™ื“ื™ื™ื
37
6,401.995605
he
16,000
from_another_angle-_mathematics_teaching_practices
54
9