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ERIC EJ758917: A Preliminary Evaluation of the Emergence of Novel Mand Forms PDF

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JOURNALOFAPPLIEDBEHAVIORANALYSIS 2007, 40, 137–156 NUMBER1 (SPRING2007) A PRELIMINARY EVALUATION OF THE EMERGENCE OF NOVEL MAND FORMS EMMA HERNANDEZ, GREGORY P. HANLEY, EINAR T. INGVARSSON, AND JEFFREY H. TIGER UNIVERSITYOFKANSAS Strategies that produce generalized responding are valuable, especially with regard to language acquisition,becauserelativelylittletrainingmayresultinlargebehaviorchanges.Conditionsthat resultingeneralizedmandingwereanalyzedinthecurrentstudy.Wedemonstratedinreversal designs that undesirable or single-word responses were the predominant mand forms of 3 preschool children. Multiple baseline designs with 2 participants and a reversal design with 1 participant were then used to demonstrate the extent to which differential reinforcement of single-wordmands(e.g.,‘‘cars’’)orframedmands(e.g.,‘‘Iwantthecars,please’’)wouldresultin theemergenceofothersingle-wordandframedmandsfordifferentitems(e.g.,mandsformusic, puppets, or puzzles). Results showed that prompting and differential reinforcement of one or twomandframes resultedin theemergence ofother framed mandsfor allparticipants. DESCRIPTORS: differential reinforcement, generalization, language training, mands, preschool children, tacts,verbal behavior _______________________________________________________________________________ Over1 millionchildrencategorizedashaving Wacker et al., 1990). In essence, both the speech and language delays were served by problem and the alternative behavior are public school special education programs dur- controlled by the same establishing operations ing the 2000–2001 academic year (National andconsequences,andbothmaybeunderstood Dissemination Center for Children with Dis- as mands. Skinner (1957) used the term mand abilities, 2004). Problem behaviors are more to describe a verbal operant that is evoked by prevalent among children with language delays deprivationoraversivestimuli(e.g.,establishing than typically developing children (Willinger et operations) and is reinforced by specific con- al., 2003). It is therefore not surprising that sequences directly related to the response. For previousresearchhasshownthatmanyformsof example, restricted access to a preferred toy problem behavior serve a communicative (so- truck is likely to function as an establishing cial) function (e.g., Carr & Durand, 1985; operation for saying ‘‘truck,’’ which would be Winborn, Wacker, Richman, Asmus, & Geier, reinforced with the specific consequence of 2002). Consequently, strategies have been de- access to the truck. veloped that replace problem behavior that Single words (e.g., ‘‘truck’’) are often sug- serves a social function with an acceptable gested as target mands for children with alternative (e.g., Carr & Durand; Hagopian, language deficits due to the ease of production Fisher, Sullivan, Acquisto, & LeBlanc, 1998; in comparison to framed responses (e.g., ‘‘I want the truck, please’’; Horner & Day, 1991; Musselwhite & St. Louis, 1988), and several Thisprojectwascompletedaspartialfulfillmentofthe requirements for a Master of Arts degree by the first studies have shown that prompting and differ- author. We thank Rachel H. Thompson and James A. ential reinforcement of single-word mands Shermanfortheirhelpfulcommentsonanearlierversion result in a reliable increase in these responses ofthismanuscript. Reprints may be obtained from Gregory P. Hanley, (Gobbi, Cipani, Hudson, & Lapenta-Neudeck, Applied Behavioral Science Department, University of 1986;Winbornetal.,2002;Yoderetal.,1995). Kansas, 4023 Dole, Lawrence, Kansas 66045 (e-mail: Targeting single-word responses may be effi- [email protected]). doi:10.1901/jaba.2007.96-05 cient in the initial stages of mand teaching, and 137 138 EMMA HERNANDEZ et al. may be especially important if those mands are animportantresearchareainvolvesunderstand- being taught as functionally equivalent replace- ing the conditions under which generalization ments for problem behavior (Carr & Durand, between verbal operants (e.g., tacts and mands) 1985; Fisher et al., 1993; Horner & Day; will occur or, from an applied perspective, Wacker et al., 1990). However, the same identifying the procedures that can produce strategy may be inefficient in the long term, generalization between verbal operants. because it is likely that each new mand would Wallace, Iwata, and Hanley (2006) recently requireseparateinstructionpriortoacquisition. showed that transfer from tact to mand Thus, it may be important that mand training, functions was dependent, at least in part, on whether as an intervention for a preexisting the valueof theitems to be tacted and manded. pattern of socially mediated problem behavior That is, if the items were shown to be highly or as a means to preempt the development of preferred, mands for these items occurred and this sort of behavior, contain features that allow were maintained following tact training. An the development of mands that are not directly additional strategy for promoting transfer trained. among verbal operant classes was offered by Strategies to promote generalization were Skinner (1957), who suggested that the use of first described by Stokes and Baer (1977), who a frame might facilitate generalization to un- suggested that generalization should be directly trainedresponses(e.g.,themandframe,‘‘Iwant assessed and carefully programmed. Although the —,’’ or the tact frame, ‘‘That is a —’’). A a variety of procedures have been found to be mand frame may serve to bridge tacts and effectiveforstrengtheningverbalrepertoires(see mands. That is, a mand frame may serve to Warren & Reichle, 1992, for a review), rela- mediategeneralization(Stokes&Baer,1977)in tively few studies have determined the teaching that the response, ‘‘I want the —, please,’’ conditions that will result in generalization. would be taught in the presence of a strong One possible reason for this relative lack of establishing operation. This frame may thus be research is that similar responses may have evoked in the presence of other similar estab- dissimilar controlling variables. For instance, lishing operations, thus resulting in generaliza- several researchers have shown that mands and tion.Forexample,achildmaybetaughttosay, other verbal operants (e.g., tacts) are function- ‘‘I want juice, please’’ when thirsty and may ally independent (Hall & Sundberg, 1987; subsequently use a frame to mand for food LaMarre & Holland, 1985; Sigafoos, Doss, & when hungry (e.g., ‘‘I want cookies, please’’). Reichle, 1989), and that teaching a child to Such outcomes were suggested by Hart and label (i.e., tact) an item will not necessarily Risley (1980), who showed that an experimen- result in that child being able to request (i.e., tal group who were taught to use compound mand) that item when it may be important for sentences to access restricted toys used more the child to do so. In contrast, more recent complex vocabulary and sentence structure that research (Petursdottir, Carr, & Michael, 2005) had not been directly taught than the compar- has shown that mands and tacts are not ison group did. necessarily independent. Petursdottir et al. Simic and Bucher (1980) provided an showed that mand training tended to lead to example of teaching mands within frames when emergent tacting, and tact training resulted in they taught 5 children with mental retardation some emergent manding. Although this study the partial frame, ‘‘I want a —.’’ Their data suggests that mand training leads to emergent showed that mand frames were acquired by tacting, variables that effect transfer between the participants, but the benefit of gener- mandsandtactshavenotbeenidentified.Thus, alized manding via framed mands was not NOVEL MAND FORMS 139 demonstrated. Therefore, further analysis of the participated in this study. All 3 children conditions in which teaching framed mands attended a classroom in a full-day inclusive results in generalization to untrained mands preschool program. They were selected to seems warranted. participate in this study because they made In the current study we first determined the few vocal requests in the classroom, and predominant mand forms for 3 preschool-aged teachers reported that their communication childrenwhoappearedtobeatriskforlanguage consisted primarily of gestures, crying, and delays. We then determined the direct and taking items from children and adults. indirect effects of providing differential re- The preference assessments and mand form inforcement for relatively smaller or larger and generalization analyses were conducted in topographical mand classes. More specifically, aroom(2.3 mby2.7 m)thatcontainedachild- once we identified a variety of preferred items sized table, two child-sized chairs, five plastic anddeterminedthattactingrepertoiresforthese opaque containers, and two bookshelves. The items were intact, we evaluated the extent to tact assessment and training were conducted in which training both single-word mands (e.g., a classroom (12 m by 7 m) that contained ‘‘truck’’) and framed mands (e.g., ‘‘I want the a variety of recreational activities. truck,please’’)wouldresultintheemergenceof Data Collection, Target Behaviors, and novel mands. Interobserver Agreement During the preference assessment and tact GENERAL METHOD assessment, trial-by-trial data were collected on Assessment and Training Overview the child’s approach toward an item or vocal A preference assessment (Fisher et al., 1992) approximation of the name of the item, was conducted with each participant to identify respectively. An approach was defined as reach- preferred items that would maximize the ing toward the item with one or both hands. motivating conditions of the mand analysis During the tact assessment, a correct response (Wallace et al., 2006). A tact assessment was was scored when the child’s vocal response conducted to ensure that the participants were approximated the agreed-upon name of the able to tact each of the items that were to be item;anincorrectresponsewasscoredwhenthe includedin themand analysis,and tacttraining child did not make a vocal response within 5 s was provided when the participant was not able orwhenthevocalresponsedidnotresemblethe to tact a preferred item. Thus, items that the name of the item. The relevant tacts for each children preferred and could tact were included child are listed in Table 1. in the mand analysis. The initial mand analysis During each preference and tact assessment, identified the particular response forms that data were collected using paper and pencil and functioned as mands (referred to as the mand were summarized as the percentage of trials on form analysis). These data were then used as which an item was selected (preference assess- baselines to evaluate the direct and indirect ment) or the number of correct responses over effects of teaching single-word and framed the total number of trials conducted (tact mands (referred to as the generalization analy- assessment and training). Interobserver agree- sis). ment was assessed by having two observers simultaneously but independently record selec- Participants and Setting tions (preference assessment) and correct or Two 4-year-old-boys (Tom and Jason) with incorrect responses (tact assessment) on a trial- nonspecific developmental delays and 1 1.7- by-trial basis. Agreements were defined as both year-old typically developing girl (Ana) observersscoringthesameresponseduringeach 140 EMMA HERNANDEZ et al. Table 1 TactsandItem Descriptions Child Tacts Items Ana Frog,froggies Fourbeanbagfrogsandarubberfrog Babies,girl,doll,bottle One20-in.doll,one8-in.cryingandlaughingdollwithabottleandblanket, andone5-in.musicaldoll Phone,telephone Sixplasticphoneswithsoundsandmusicbutton Dinosaur,dino PlasticLegoHdinosaursandaplasticdinosaurwithsoundsandalight Cars,train,bus Plasticcarswithsoundsandlights,abusandatrain Tom Cars Fivecarsofvariouscolors Dress-up Scarves,necktie,necklaces,avest,dresses,bracelets,glasses,twohats,aring,andshoes DisneyH PlasticAladdinHandPoohBearHmoviecharacters Books PaperbackpreschoolbookssuchasTonkaTrucksHandabook Dinosaurs PlasticLegoHdinosaursandaplasticdinosaurwithsoundsandalight Jason Music Drum,metaltriangle,xylophone,clapper,cymbals,andrhythmsticks Puppet Animalhandpuppets Bears Colorfulplasticstackablebears Dinosaurs PlasticLegoHdinosaursandaplasticdinosaurwithsoundsandalight Puzzles Electronicinsetpuzzlewithsounds trial. Agreement for each session was calculated development of their vocal verbal repertoires. by dividing the total number of agreements by Because single-word mands, as opposed to the total number of agreements and disagree- undesirable behavior, were found to be the ments and multiplying by 100%. Agreement predominant mand form for Jason, undesirable was assessed during at least 50% of preference responses are not reported in the generalization assessment sessions across all participants and analysis. Single-word responses were defined as averaged 98% (range, 96% to 100%). Agree- vocalizations thatincluded anapproximationof ment was assessed during at least 75% of tact the name of the target item (e.g., ‘‘dinosaurs,’’ assessment and training sessions across all ‘‘dino,’’ or ‘‘want dino’’) and did not include participants and averaged 94% (range, 73% to a mand frame. Framed responses were defined 100%). as vocalizations taking the form of ‘‘I want The frequency of each participant’s undesir- [name of the object], please,’’ ‘‘May I have able, single-word, and framed responses was [name of the object], please?’’ or ‘‘Can I have recorded during the mand form and general- [name of the object], please?’’ Single-word ization analyses. Undesirable responses for Ana responses were not scored in the same instance were crying, yelling, and two rudimentary signs a framed response occurred (i.e., single and defined as placing an open palm on her chest framed responses were mutually exclusive and moving it from side to side (similar to the categories). American sign language sign for ‘‘please’’) or During the mand form and the generaliza- extending her arms toward the items while tion analyses, data on child behavior were making contact with the fingertips of both collected using handheld computers during hands (similar to the sign for ‘‘more’’). The continuous 10-s intervals and were summarized undesirable response form for Tom and Jason as the number of responses per minute. was pointing, which was defined as extending Interobserver agreement was assessed in at least the index finger in the direction of the item. 49% of mand form analysis sessions across all These responses were considered undesirable participants and averaged 98% (range, 87% to because all participants showed evidence of 100%). Agreement was assessed in at least 22% somewhat intact vocal verbal repertoires; thus, of the generalization analysis sessions across all theseresponsesmayhavecompetedwithfurther participants and averaged 98% (range, 64% to NOVEL MAND FORMS 141 100%). Exact agreement scores were calculated dividing the number of times the child selected on an interval-by-interval basis by dividing the an item by the total number of trials in which number of intervals with agreements by the theitemwaspresentedandthenmultiplyingby number of intervals with agreements and 100%. disagreements; these fractions were then aver- Tact assessment and training. Each child’s aged and multiplied by 100%. An agreement ability to tact each of the 10 items was assessed was scored for each interval if both observers by asking the child, ‘‘What is this?’’ in the recorded the same number of responses. presence of each item. Following a correct response, the therapist provided social praise PREFERENCE ASSESSMENTAND TACT ASSESSMENT (e.g., ‘‘That’s right!’’). Incorrect responses AND TRAINING resulted in a brief 2-s time-out from interaction Thepurposeofthepreferenceassessmentand followed by the presentation of the next item. the tact assessment and training was to identify The therapist presented each of the 10 items in five items to be included in the mand analysis. a random order, and each item was presented Items to be included met three criteria: (a) three times (for a total of 30 tact trials per When provided with the item following an child). If the child did not accurately tact the approach response during the preference assess- target items in all three of the opportunities, ment, the child engaged with the items for the tact training was conducted. entire 30-s period in a developmentally appro- Tact training was conducted in a manner priatemanner(showingtheabsolutevalueofan similar to the tact assessment except that if the item). (b) The child could tact the items in child did not respond within 5 s or responded three consecutive opportunities during the tact incorrectly, the therapist repeated the question assessment or following tact training (showing and simultaneously provided a model prompt. a minimal tact repertoire with respect to the For example, the therapist asked, ‘‘What is items). (c) The items were selected over other this?’’ and then immediately stated, ‘‘This is items on at least some of opportunities a car, say car.’’ If the child imitated the (showing the relative value of the item). vocalization within 5 s of the model, social praise was provided. On the next trial, the Procedure prompt was delayed by 2 s. For example, the Preference assessment. Interviews of parents therapist said, ‘‘What is this?’’ and waited 2 s, and teachers yielded a list of 10 preferred items before stating, ‘‘This is a car, say car.’’ The for each child. A paired-choice preference modelpromptwasdelayedbyincrementsof2 s assessment (Fisher et al., 1992) was conducted following each correct response (Ault, Gast, & with each participant to identify five items for Wolery, 1988). Tact training was terminated use during the mand analysis. Each item was when the child independently (i.e., in the paired with every other item once during the absenceofamodelprompt)respondedcorrectly assessment. This occurred by placing two bins, for three consecutive trials. each containing different sets of items, on the table simultaneously. The child’s approach toward one of the two bins (e.g., a bin MAND FORM ANALYSIS containing cars and a bin containing dinosaurs) The purpose of the mand form analysis was resultedin30-saccesstothatbin.Whenachild to identify the response forms that functioned approached two bins simultaneously, the ther- as mands for each child. Five 3-min sessions apist blocked access to the bins, and the bins were conducted daily, 4 to 5 days per week. werepresentedagain.Thepercentageoftrialsin Each of the 3-min sessions involved one of the which items were selected was calculated by five sets of items that the child was able to tact 142 EMMA HERNANDEZ et al. and had been selected on over 20% of single-word, or framed responses resulted in opportunities. The presentation of the items brief (e.g., 30-s) access to the bin of items. was conducted in random order for Tom. However, to determine if a temporal general- Experimental Design ization gradient of novel mand forms would A reversal design was used to identify the develop (i.e., if untrained mands that were response forms maintained by access to the assessedcloserintime todirectlytrainedmands target items (i.e., mands). For Ana, this analysis would emerge sooner than mands that were began with the DRA condition due to signif- assessed later), the order in which the items icant changes in the definition of her undesir- were presented was held constant for Ana and able responses that occurred in previous (un- Jason. Brief breaks were provided between each reported) observations during NCR and DRA sessionsuchthatthetotalamountoftimespent sessions. in sessions each day was approximately 20 min for all participants. GENERALIZATION ANALYSIS Procedure Procedure The purpose of the generalization analysis Noncontingent reinforcement (NCR). During wastodetermineifdifferentialreinforcementof NCR, one of the five sets of items was freely single-word and framed mands would result in accessible for 3 consecutive minutes. At the end generalization to single-word or framed mands ofthe3-minsession,theitemswerereturnedto with no explicit training. The NCR and DRA the bin and placed out of view. A total of five conditions from the mand form analysis served sessions (i.e., one session per toy set) were as baselines for all 3 children for the general- conducted consecutively, and only one set of ization analysis. itemswaspresentedatatime.Thetherapistdid Differential reinforcement of single-word and not respond in any way to the target responses framed responses (DRSF). This condition was or other behaviors during these sessions. implemented with Ana and Tom only because Because Ana rarely experienced periods in their mand form analysis showed that undesir- which an adult who was in close proximity able mands were their predominant mand did not interact with her for minutes at a time, forms. Thus, the DRSF condition restricted she was also provided with 10 s of attention the contingency class that received reinforce- every 30 s, independent of her behavior. ment to single-word and framed responses. In During this condition, the establishing opera- other words, this condition was similar to the tionformandingforthetoysetswaseliminated originalDRAconditiondescribedabove,except or at least minimized by providing continuous that access to the visible item was not provided access to the preferred items. Therefore, this if the child engaged in an undesirable response. condition served as a control for the effects of A model of the single-word mand was provided differential reinforcement. after the initial 30 s had expired following the Differential reinforcement of undesirable, sin- presentation of the item or when the child had gle-word, or framed mands (DRA). The DRA not emitted a single-word or framed response condition was similar to the NCR condition for 5 s following removal of the items. Prompt except that the items were placed on the table delays were then used to eliminate the but out of the child’s reach, and access to the vocal model prompts. One second was added items was provided for 30 s following any to the 5-s delay following a correct response target response. That is, to increase the rate of and 1 s was subtracted from the delay the target response that functioned as the following an undesirable response. When vocal participant’s predominant mand, undesirable, model prompts had been eliminated for three NOVEL MAND FORMS 143 consecutive sessions (i.e., independent respond- indicating that some items were more preferred ing occurred), vocal mand models were not thantheotheritemsincludedintheassessment. provided in subsequent sessions. Results obtained from the tact assessment Differential reinforcement of framed responses and training are shown above the bars on (DRF). Differential reinforcement of framed Figure 1. Ana tacted four of the items (tele- responseswasimplementedwhenAnaandTom phones, dinosaurs, frogs, and babies) on all reliably engaged in single-word mands on one three trials and appropriately interacted with of the baselines that had previously been thesematerialsduringthepreferenceassessment exposed to the DRA or DRSF conditions, and (data available from the second author); theindirect effectsofthatbehaviorchange were therefore, these items were included in her incomplete (e.g., undesirable behavior persisted mand analysis. Ana did not engage with the on the remaining baselines). DRF was imple- pensappropriately,sotheywerenotincludedin mented with Jason to increase the developmen- themandanalysis.Shetactedcarsinatleastone tal appropriateness of his manding repertoire. of three trials; therefore, cars were selected for This condition was similar to the DRSF inclusionasherfifthtoyset.Thirteentrialswere condition, except that a framed mand model required to teach Ana to tact cars on three was provided after the initial 30 s had expired, consecutive opportunities (data not shown). and access to the preferred item was provided Tom tacted cars, dinosaurs, and books in at only following framed responses (i.e., undesir- least one of the three trials and appropriately able responses and single-word mands were engaged with these materials during the prefer- placed on extinction). Prompting, prompt ence assessment; therefore, these items were delays, and mand models were arranged as included in his mand analysis. Three, 11, and described above. 15 trials were required to teach Tom to tact cars, dinosaurs, and books, respectively, on Experimental Design three consecutive opportunities (data not Thedirect effects of therestricted differential shown). Tom appropriately engaged with the reinforcement contingencies were demonstrated DisneyH and dress-up toys; therefore these in multiplebaseline designs acrossbehaviors for items were also included as the fourth and fifth Ana and Tom and in a reversal design with toy sets. Fifteen and 18 trials were required to Jason.Althoughmultiplebaselineswereused to teach Tom to tact DisneyH and dress-up, observe the indirect effects of the restricted respectively, on three consecutive opportunities differential reinforcement procedures for all (data not shown). Jason tacted puppets, bears, participants, experimental control over the puzzles, and dinosaurs on all three trials and indirect effects of the differential reinforcement appropriately engaged with these materials contingencies was shown only with Jason in during the preference assessment; therefore, a reversal design. these items were included in his mand analysis. Jason did not engage with the necklaces or RESULTSAND DISCUSSION books appropriately; therefore, music was Preference Assessment and Tact Assessment selected for inclusion as his fifth toy set. Six and Training trials were required to teach him to tact this Items included in the mand analysis met item on three consecutive opportunities (data three criteria described above. Results obtained not shown). from the preference assessment are shown in Figure 1 as the percentage of trials in which Mand Form Analysis each item was selected. In general, preference The results of the mand form analysis for assessment data show a descending slope, thus Ana are shown in Figure 2. The mean rate of 144 EMMA HERNANDEZ et al. Figure1. PercentageoftrialsinwhichitemswereselectedduringthestimuluspreferenceassessmentforAna(top), Tom(middle), andJason (bottom). undesirable responses was highest during the items (M 5 0.3). The rate of undesirable first DRA condition (M 5 0.9) across all items responses increased during the return to DRA (i.e., cars, dinosaurs, frogs, babies, and phones). (M 5 0.8 across all items), and single-word Single-word responses were also observed responses persisted at similar, albeit highly during DRA (M 5 0.4 across all items), but variable, rates (M 5 0.7 across all items). to a much lesser extent than undesirable Framed responses were not observed in any responses. During the NCR condition, no condition with Ana. undesirable responses occurred, but single-word Low and inconsistent rates of undesirable responses occurred intermittently across all five (M 5 0.3) and single-word (M 5 0.1) NOVEL MAND FORMS 145 Figure2. Independenttargetresponsesperminutefor Figure3. Independenttargetresponsesperminutefor Anaduring the mandformanalysis. Tomduring themand formanalysis. responses occurred during the initial NCR NCR, undesirable responses were zero in 14 condition for Tom across each of the five of the 15 sessions across the five baselines, baselines (i.e., cars, dress-up, DisneyH, dino- and single-word responses occurred at low saurs, and books) (Figure 3). During and intermittent rates (M 5 0.1). Upon the DRA, high and persistent levels of undesirable return to the DRA condition, undesirable responses occurred (M 5 1.4), whereas single- responses increased (M 5 1) and single-word word responses occurred during only one (M 5 0.1) and framed (M 5 0) responses of the 20 sessions. During the return to did not. 146 EMMA HERNANDEZ et al. NCR resulted in either low or zero rates of all target responses across each of the five baselines (i.e., music, puppets, bears, dinosaurs, and puzzles) for Jason (Figure 4). That is, the mean rate of responding for undesirable, single-word, and framed responses was 0, 0.3, and 0 responses per minute, respectively. During the DRA condition, single-word responses occurred consistently in all sessions (M 5 1.7), undesirable responses occurred at variable rates in just over half of the sessions (M 5 0.8), and framed responses were not observed. When NCR was reinstated, the rate of undesirable responses continued to be vari- able (M 5 1.8), whereas the consistent rate of single-word responses observed during DRA was disrupted (M 5 0.6). The return to DRA resulted in stable rates of single-word responses across all baselines (M 5 1.9) and inconsistent, and at times high, rates of undesirable behavior (M 5 1.7). The results of the mand form analysis showed that Ana’s and Tom’s preexisting and predominant mand forms were undesirable responses, given that they appeared to be most sensitive to the changes in the relevant contingencies. By contrast, single-word re- sponses appeared to be most sensitive to the condition changes for Jason and appeared to be his predominant mand form. Although all target responses would have resulted in access to the toy bins during the DRA condition, less desirable mand topographies emerged for each child: rudimentary signs for Ana, pointing for Tom, and uttering single words for Jason. That is, by programming a broad differential reinforcement contingency (i.e., one that provided reinforcement for Figure4. Independenttargetresponsesperminutefor several categories of responding sequenced on a Jason during themand formanalysis. developmental continuum), the predominant mand form was identified for each child across Although reliable patterns of one of the all item sets. For all participants, the respective topographical classes were evident from the mand forms possessed strong generality as mand form analysis for each child, there was similar topographies of manding were observed some variability in the data that deserves in the DRA condition across all baselines. comment. The establishing operation for

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