NationalTutoringObservatory/MathEd-PII · Datasets at Hugging Face

role stringclasses 2 values	content stringlengths 0 2.1k	session_id int64 10 21.7k	sequence_id int64 0 2.38k	annotations listlengths 0 8
volunteer	Or, in this case, y, I mean	11,236	102	[]
volunteer	But we know if they both did some amount of work in this car wash, together, they washed one car right?	11,236	103	[]
student	Yes	11,236	104	[]
volunteer	Basically, the work of Sarah and David together in this car wash, washed the car	11,236	105	[ { "pii_type": "PERSON", "surrogate": "Sarah", "start": 23, "end": 28 }, { "pii_type": "PERSON", "surrogate": "David", "start": 33, "end": 38 } ]
volunteer	So, the fractional amount of work that Sarah did y / 35 plus the fractional amount of work David did y / (35 - x) should equal 1 because they washed one car together?	11,236	106	[ { "pii_type": "PERSON", "surrogate": "Sarah", "start": 39, "end": 44 }, { "pii_type": "PERSON", "surrogate": "David", "start": 91, "end": 96 } ]
student	Yes	11,236	107	[]
volunteer	This is mostly unrelated to the problem, but I just want to reword everything into the context of the situation	11,236	108	[]
volunteer	Have you already answered the initial problem or do you want to finally go through it?	11,236	109	[]
student	I think I understand it, I just need to fill in the blanks.	11,236	110	[]
student	I got it, thank you!	11,236	111	[]
volunteer	Okay, once again, I'm very sorry for how I explained this. Feel free to leave whenever you are ready unless you have another question... But questions like these all just require you to understand what's happening in the situation.	11,236	112	[]
student	That's okay! Is it okay if we try another?	11,236	113	[]
volunteer	Sure, just put it up whenever!	11,236	114	[]
volunteer	Okay, here let's focus exclusively on Liam	11,236	115	[ { "pii_type": "PERSON", "surrogate": "Liam", "start": 38, "end": 42 } ]
volunteer	What would doing 450 / x do	11,236	116	[]
volunteer	What is x?	11,236	117	[]
student	The amount of time it takes Liam to plant 450 bulbs?	11,236	118	[ { "pii_type": "PERSON", "surrogate": "Liam", "start": 28, "end": 32 } ]
volunteer	Yes, so doing 450 / the time it takes Sarah is like doing 450 / Minutes used	11,236	119	[ { "pii_type": "PERSON", "surrogate": "Sarah", "start": 38, "end": 43 } ]
volunteer	Which should tell us how many bulbs she can plant per minute right?	11,236	120	[]
student	Yes	11,236	121	[]
volunteer	So, here in this context, they tell us Liam also planted 450 bulbs right?	11,236	122	[ { "pii_type": "PERSON", "surrogate": "Liam", "start": 39, "end": 43 } ]
student	Yes, but he took 25 more minutes than Liam?	11,236	123	[ { "pii_type": "PERSON", "surrogate": "Liam", "start": 38, "end": 42 } ]
volunteer	Exactly! Great observation!	11,236	124	[]
volunteer	Doing 450 / x tells us Liam's rate	11,236	125	[ { "pii_type": "PERSON", "surrogate": "Liam", "start": 23, "end": 27 } ]
volunteer	Where x was our time for Liam	11,236	126	[ { "pii_type": "PERSON", "surrogate": "Liam", "start": 25, "end": 29 } ]
volunteer	So now, it seems like he took 25 minutes more than Liam	11,236	127	[ { "pii_type": "PERSON", "surrogate": "Liam", "start": 51, "end": 55 } ]
student	Okay, so that means 450/x+25 would be his rate?	11,236	128	[]
volunteer	Exactly! That is the meaning of the entire rational expression	11,236	129	[]
volunteer	So the denominator is Noah's time	11,236	130	[ { "pii_type": "PERSON", "surrogate": "Noah", "start": 22, "end": 26 } ]
volunteer	And Noah took more time than Liam	11,236	131	[ { "pii_type": "PERSON", "surrogate": "Noah", "start": 4, "end": 8 }, { "pii_type": "PERSON", "surrogate": "Liam", "start": 29, "end": 33 } ]
volunteer	And the rational expression is his rate right?	11,236	132	[]
student	Right!	11,236	133	[]
volunteer	Do you want to do one more? I will have to go though after as it is currently 1:13 A.M for me and I have to be up in a couple hours.	11,236	134	[]
student	No, that's okay then. We can end it here.	11,236	135	[]
student	Thank you so much for your help ant patience!	11,236	136	[]
volunteer	Okay, I hope I helped in some way despite my really poorly made, complex explanations, whenever you are ready, you can leave.	11,236	137	[]
student	You definitely helped, thanks! Have a great night!	11,236	138	[]
student	Hellooo	11,999	0	[]
student	?	11,999	1	[]
volunteer	Hi!	11,999	2	[]
volunteer	What do you need help with today?	11,999	3	[]
student	I need help with graphing quadratics in vertex form	11,999	4	[]
volunteer	Ok	11,999	5	[]
volunteer	Is there a specific question you want to solve?	11,999	6	[]
student	I would !like to upload it	11,999	7	[ { "pii_type": "PERSON", "surrogate": "like", "start": 9, "end": 13 } ]
volunteer	Ok!	11,999	8	[]
student	Let me see if I can	11,999	9	[]
student	There!	11,999	10	[]
volunteer	Ok! Let me take a look at it	11,999	11	[]
student	Could you hear me	11,999	12	[]
volunteer	Yes, I can	11,999	13	[]
student	OK, that's good	11,999	14	[]
volunteer	Ok, so let's start at the top	11,999	15	[]
volunteer	I	11,999	16	[]
student	Oh, I can hear you too.	11,999	17	[]
volunteer	Oh ok	11,999	18	[]
volunteer	Do you want me to speak or just chat	11,999	19	[]
student	Uh, you can, you can, um	11,999	20	[]
student	you can talk so it can be much easier for me to understand.	11,999	21	[]
volunteer	OK, hi, can you hear me	11,999	22	[]
volunteer	Thank you	11,999	23	[]
student	Yeah. Oh, I like your voice. You're welcome.	11,999	24	[]
volunteer	OK, so	11,999	25	[]
volunteer	um, do you just wanna start at the top.	11,999	26	[]
student	Uh yeah	11,999	27	[]
volunteer	OK, so do you know the equation of the graph at the top.	11,999	28	[]
student	Uh	11,999	29	[]
student	which equation	11,999	30	[]
volunteer	Like it says the parent quadratic function is.	11,999	31	[]
student	Oh yeah	11,999	32	[]
volunteer	OK, so do you know what the apparent quadratic function is.	11,999	33	[]
student	Uh no	11,999	34	[]
volunteer	OK, that's fine. Um, so basically, it's F of X equals x squared.	11,999	35	[]
volunteer	Now, let me type it	11,999	36	[]
volunteer	f(x) = x²	11,999	37	[]
volunteer	So that's what the parent quadratic function is.	11,999	38	[]
volunteer	And basically everything below is just transformations of the parent quadratic function.	11,999	39	[]
volunteer	Does that make sense?	11,999	40	[]
student	Yeah	11,999	41	[]
volunteer	OK	11,999	42	[]
volunteer	So	11,999	43	[]
volunteer	um, the U-shaped graph of a quadratic function. Do you know what that's called?	11,999	44	[]
student	Uh, parabola, parabola, right?	11,999	45	[]
volunteer	Yeah, parabola	11,999	46	[]
volunteer	Um	11,999	47	[]
volunteer	and then the line that divides the parabola into two mirror images. Do you know what that's called?	11,999	48	[]
student	Axis symmetry.	11,999	49	[]
student	OK.	11,999	50	[]
volunteer	Yeah, OK	11,999	51	[]
student	OK	11,999	52	[]
student	OK	11,999	53	[]
volunteer	And then um the point at which the problem meets the axis of symmetry. Do you know what that is?	11,999	54	[]
student	OK	11,999	55	[]
volunteer	Yeah.	11,999	56	[]
volunteer	So	11,999	57	[]
volunteer	now for the first one, it's a reflection	11,999	58	[]
volunteer	so	11,999	59	[]
volunteer	basically	11,999	60	[]
volunteer	um, since it's negative, it would be a less than 0. So if you add like	11,999	61	[]
volunteer	um a reflection is like a negative sign. So if you add that, it just flips the parabola.	11,999	62	[]

volunteer

Or, in this case, y, I mean

11,236

102

[]

volunteer

But we know if they both did some amount of work in this car wash, together, they washed one car right?

11,236

103

[]

student

Yes

11,236

104

[]

volunteer

Basically, the work of Sarah and David together in this car wash, washed the car

11,236

105

[ { "pii_type": "PERSON", "surrogate": "Sarah", "start": 23, "end": 28 }, { "pii_type": "PERSON", "surrogate": "David", "start": 33, "end": 38 } ]

volunteer

So, the fractional amount of work that Sarah did y / 35 plus the fractional amount of work David did y / (35 - x) should equal 1 because they washed one car together?

11,236

106

[ { "pii_type": "PERSON", "surrogate": "Sarah", "start": 39, "end": 44 }, { "pii_type": "PERSON", "surrogate": "David", "start": 91, "end": 96 } ]

student

Yes

11,236

107

[]

volunteer

This is mostly unrelated to the problem, but I just want to reword everything into the context of the situation

11,236

108

[]

volunteer

Have you already answered the initial problem or do you want to finally go through it?

11,236

109

[]

student

I think I understand it, I just need to fill in the blanks.

11,236

110

[]

student

I got it, thank you!

11,236

111

[]

volunteer

Okay, once again, I'm very sorry for how I explained this. Feel free to leave whenever you are ready unless you have another question... But questions like these all just require you to understand what's happening in the situation.

11,236

112

[]

student

That's okay! Is it okay if we try another?

11,236

113

[]

volunteer

Sure, just put it up whenever!

11,236

114

[]

volunteer

Okay, here let's focus exclusively on Liam

11,236

115

[ { "pii_type": "PERSON", "surrogate": "Liam", "start": 38, "end": 42 } ]

volunteer

What would doing 450 / x do

11,236

116

[]

volunteer

What is x?

11,236

117

[]

student

The amount of time it takes Liam to plant 450 bulbs?

11,236

118

[ { "pii_type": "PERSON", "surrogate": "Liam", "start": 28, "end": 32 } ]

volunteer

Yes, so doing 450 / the time it takes Sarah is like doing 450 / Minutes used

11,236

119

[ { "pii_type": "PERSON", "surrogate": "Sarah", "start": 38, "end": 43 } ]

volunteer

Which should tell us how many bulbs she can plant per minute right?

11,236

120

[]

student

Yes

11,236

121

[]

volunteer

So, here in this context, they tell us Liam also planted 450 bulbs right?

11,236

122

[ { "pii_type": "PERSON", "surrogate": "Liam", "start": 39, "end": 43 } ]

student

Yes, but he took 25 more minutes than Liam?

11,236

123

[ { "pii_type": "PERSON", "surrogate": "Liam", "start": 38, "end": 42 } ]

volunteer

Exactly! Great observation!

11,236

124

[]

volunteer

Doing 450 / x tells us Liam's rate

11,236

125

[ { "pii_type": "PERSON", "surrogate": "Liam", "start": 23, "end": 27 } ]

volunteer

Where x was our time for Liam

11,236

126

[ { "pii_type": "PERSON", "surrogate": "Liam", "start": 25, "end": 29 } ]

volunteer

So now, it seems like he took 25 minutes more than Liam

11,236

127

[ { "pii_type": "PERSON", "surrogate": "Liam", "start": 51, "end": 55 } ]

student

Okay, so that means 450/x+25 would be his rate?

11,236

128

[]

volunteer

Exactly! That is the meaning of the entire rational expression

11,236

129

[]

volunteer

So the denominator is Noah's time

11,236

130

[ { "pii_type": "PERSON", "surrogate": "Noah", "start": 22, "end": 26 } ]

volunteer

And Noah took more time than Liam

11,236

131

[ { "pii_type": "PERSON", "surrogate": "Noah", "start": 4, "end": 8 }, { "pii_type": "PERSON", "surrogate": "Liam", "start": 29, "end": 33 } ]

volunteer

And the rational expression is his rate right?

11,236

132

[]

student

Right!

11,236

133

[]

volunteer

Do you want to do one more? I will have to go though after as it is currently 1:13 A.M for me and I have to be up in a couple hours.

11,236

134

[]

student

No, that's okay then. We can end it here.

11,236

135

[]

student

Thank you so much for your help ant patience!

11,236

136

[]

volunteer

Okay, I hope I helped in some way despite my really poorly made, complex explanations, whenever you are ready, you can leave.

11,236

137

[]

student

You definitely helped, thanks! Have a great night!

11,236

138

[]

student

Hellooo

11,999

0

[]

student

?

11,999

1

[]

volunteer

Hi!

11,999

2

[]

volunteer

What do you need help with today?

11,999

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[]

student

I need help with graphing quadratics in vertex form

11,999

4

[]

volunteer

Ok

11,999

5

[]

volunteer

Is there a specific question you want to solve?

11,999

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[]

student

I would !like to upload it

11,999

7

[ { "pii_type": "PERSON", "surrogate": "like", "start": 9, "end": 13 } ]

volunteer

Ok!

11,999

8

[]

student

Let me see if I can

11,999

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[]

student

There!

11,999

10

[]

volunteer

Ok! Let me take a look at it

11,999

11

[]

student

Could you hear me

11,999

12

[]

volunteer

Yes, I can

11,999

13

[]

student

OK, that's good

11,999

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[]

volunteer

Ok, so let's start at the top

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volunteer

I

11,999

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[]

student

Oh, I can hear you too.

11,999

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[]

volunteer

Oh ok

11,999

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[]

volunteer

Do you want me to speak or just chat

11,999

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[]

student

Uh, you can, you can, um

11,999

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[]

student

you can talk so it can be much easier for me to understand.

11,999

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[]

volunteer

OK, hi, can you hear me

11,999

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[]

volunteer

Thank you

11,999

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[]

student

Yeah. Oh, I like your voice. You're welcome.

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[]

volunteer

OK, so

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[]

volunteer

um, do you just wanna start at the top.

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student

Uh yeah

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volunteer

OK, so do you know the equation of the graph at the top.

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[]

student

Uh

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[]

student

which equation

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[]

volunteer

Like it says the parent quadratic function is.

11,999

31

[]

student

Oh yeah

11,999

32

[]

volunteer

OK, so do you know what the apparent quadratic function is.

11,999

33

[]

student

Uh no

11,999

34

[]

volunteer

OK, that's fine. Um, so basically, it's F of X equals x squared.

11,999

35

[]

volunteer

Now, let me type it

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volunteer

f(x) = x²

11,999

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[]

volunteer

So that's what the parent quadratic function is.

11,999

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[]

volunteer

And basically everything below is just transformations of the parent quadratic function.

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[]

volunteer

Does that make sense?

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[]

student

Yeah

11,999

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[]

volunteer

OK

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[]

volunteer

So

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volunteer

um, the U-shaped graph of a quadratic function. Do you know what that's called?

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[]

student

Uh, parabola, parabola, right?

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[]

volunteer

Yeah, parabola

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[]

volunteer

Um

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[]

volunteer

and then the line that divides the parabola into two mirror images. Do you know what that's called?

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student

Axis symmetry.

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student

OK.

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volunteer

Yeah, OK

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student

OK

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student

OK

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volunteer

And then um the point at which the problem meets the axis of symmetry. Do you know what that is?

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student

OK

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volunteer

Yeah.

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volunteer

So

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volunteer

now for the first one, it's a reflection

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volunteer

so

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[]

volunteer

basically

11,999

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[]

volunteer

um, since it's negative, it would be a less than 0. So if you add like

11,999

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[]

volunteer

um a reflection is like a negative sign. So if you add that, it just flips the parabola.

11,999

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[]